On a 2003 Toyota Corolla, does the fuel injection system need to be cleaned?

I found this useful diagram at troubleshoot vehicle.com. It answers your question. Fuse box is located below steering column.
Driver Side Fuse Panel
(1993-1996 Toyota Corolla) December 21, 2013 Updated: December 21, 2013 Written by: Abraham Torres-Arredondo In the table below you'll find the fuse location and description of the fuses of the driver side under-dash fuse box on 1.6L and 1.8L 1993-1996 Toyota Corolla.
The fuse box is located on the driver side of the dash, below the steering column.
1993-1996 Toyota Corolla Driver Side Fuse Box Fuse Fuse Name Amps 1 Cigarette Lighter, Digital Clock, A/C System, A/T Shift Lock, Alarm, SRS Airbags 20 2 Tail, Parking & License Lights, Instrument Panel and Daytime Running Lights 15 3 Fuel Injection, Cooling Fans, Battery Discharge Light 10 4 Cruise Control System, Daytime Running Lights 10 5 Fuel Injection System 7.5 6 Stop Lights, Cruise Control, Shift Lock System, Anti-Lock Brake (ABS) System 15 7 Turn Signals, Emergency Flashers 10 8 Starting System, Anti-Lock Brake (ABS) System, Shift Lock System 15 9 Gauges, Reminder Lights, Back-up Lights, A/C System, Daytime Running Lights 10 10 Front and Rear Wiper/Washer System 20

Could be a couple things,if its fuel injected could be clogged fuel injecters.It also could be a dirty fuel filter I suggest u start with a tune up and go from there.

Your fuel pump might be broken, or something with the fuel injection system.
I checked the internet, and I see a lot of 2005 Toyota Corolla's have fuel consumption problems.

So, check that with some mechanic, or if you are 100% that is fuel pump you can change it yourself.
http://www.ehow.com/how_7577567_change-toyota-corolla-fuel-pump.html

is it a carboretor or is it fuel injection if a carboretor probably a sticking flote easy to do just remove it and clean if its fuel injection get the fuel pump checked or injectors

The electronic fuel injection system in your 2007 Toyota Corolla is an extremely technologically advanced, computer controlled, engine fueling system that consists of hundreds of parts, sensors, solenoids, relays and electrical circuits. It also consists of a computer-controlled pump as well as high-pressure lines and fittings that deliver the fuel from the fuel tank to the injectors. The computer system that controlls your fuel injection system has nearly 100,000 times the computing ability of the computers that were on the Apollo space craft that put put man on the moon.
To say something as simple as "fuel injection problem" and expect a viable "solution" for your problem is like saying "water problem" at Niagra Falls and expecting somebody to fix it for you.

What kind of "fuel injection" problem? Have you tried interfacing with the computer that controls your fuel injection system? If so, what did it tell you? If not, that would be a real good place to start.

If it is a Carburettor model you need to check if the earth wire to the carb is connected, and if the idling valve on the carb is working and getting power.Also check if the idling jet is not blocked in the carb.If it is fuel injection make sure all the wire,s for the fuel injection system is connected especially the earth wire's. Also check that the throttle body is clean.

Yes.
D-4 is the type of fuel injection - direct injection.
vvt-i : Variable valve timing with intelligence.
It is used on Toyota's 2.0L first generation AZ engine family : 1AZ-FSE
1 - First gen
AZ - engine family
F - Economy narrow-angle valve DOHC
SE - Direct injection
Vehicles using the engine include Avensis, RAV-4, Premio, Wish and Allion

Yes, and you need a computer, and a different fuel tank system, fuel lines, and emission components from the new engine's car.

it is inside the fuel tank for it is fuel injected. All vehicles made since 1985 have this location for the fuel pump with fuel injection

Quick explanation of your fuel system:

An automotive fuel system consists of everything between the fuel tank and the carburetor or fuel injection unit. This includes the tank itself, all the lines, one or more fuel filters, a fuel pump (mechanical, electric, or both), and the carburetor or fuel injection unit.
With the exception of the carburetor or fuel injection unit, the fuel system is quite simple in operation. Fuel is drawn or pumped from the tank through the fuel line by the fuel pump, which forces it through the fuel filter, and from there to the carburetor/injection unit where it is distributed to the cylinders.

So with that info...try first to clean your spark plugs.
Next, replace your fuel filter.
After that, depending on a carburetor/fuel injection, try an additive that cleans the injectors. For the carburetor, try a half of can of what is called "Seafoam". It comes in a metal can available everywhere, including Walmart. It is worth the $6-8 and also will "dry" out your fuel from water. Very good product.

After that, get back to us and let us know how your Toyota is running.