I changed the spark plugs and wires ive double check firing order , still wont start i also arc the a arm w starter just for a sec , ive checked fueses

Well you don't have a carb, you have a throttle body and injectors.
But the answer is no you should not have any fire there.
Could be some plug wires mixed up, or the intake valves are not closing.
You can check the firing order for the plug wires and run a compression test to check the valves.

very good but did you check that the no1 piston was on tdc firing before you replaced the distributor . You may be 180degrees out on the firing order.

Double check the spark plug wire firing order. The cylinder have to have voltage in a certain order. If you do not have a motor manual you can google for this information. just write for example: 2002 ford taurus 6 cylinder spark plug firing order. The firing order goes in sequence usually in a clockwise direction. For example: 1, 5, 3 ,6 2, 4 in a clockwise order. spark plug #1 wire goes to the coil then spark plug #5 wire goes on the coil in a clockwise rotation, next to where spark plug # 1 was connected. This would mean that spark plug number 1 will fire (or get voltage), then spark plug nuimber 5 will fire (get voltage), then spark plug number 3 and so on. The sequence will continue to happen over and over again as long as the car is on. Here's another tip! When it nice and dark outside, turn your car on with the hood open and look at your spark plug wires for any voltage jumping from the wires to the motor metal. Keep in mind you may have to tent yourself with a cardboard to see the voltage arcing to metal. It has too be super dark for you too see this fault. Any arcing will cause your engine to misfire and your engine light to come on. Hope this gives you a starting point to finding the problem. Good Luck.

Compression, spark , timing , fuel for any engine to run. Don't forget a stopped up catalytic convertor will have the same effect as you described. Backfiring of course is fouled plugs, bad plug wires, look for arcing from wires when it is dark outside. If it has a distributor check for cracked cap, had my 91 GMC start backfiring then die due to ignition module inside distributor going bad. It would start back up after it cooled for about 10 minutes.

check each wire to be at good spark plug number with the image

DID YOU GAP PLUGS CORRECTLY? CHECK TO MAKE SURE SPARK PLUG WIRES ARE IN RIGHT FIRING ORDER QUESTION DOES ENGINE TURN OVER LIKE IT WANTS TO START???? CHECK ALL FUSES SOME HAVE STARTER RELAY FUSES ALSO MAKE SURE TRANSMISSION IS FIRMLY IS PARK MAY HAVE A STARTER SAFETY RELAY CAR WONT START UNLESS PARK IS ACHIEVED.....GOOD LUCK

check your starter relay in your main fuse box.

hope this helps double check Firing Orders

To avoid confusion, remove and tag the spark plug wires one at a time, for replacement.

If a distributor is not keyed for installation with only one orientation, it could have been removed previously and rewired. The resultant wiring would hold the correct firing order, but could change the relative placement of the plug towers in relation to the engine. For this reason it is imperative that you label all wires before disconnecting any of them. Also, before removal, compare the current wiring with the accompanying illustrations.

2.2L (VIN 4) EngineFiring Order: 1-3-4-2Distributorless Ignition System
Click to Enlarge

2.3L (VIN D) and 2.4L (VIN T) EnginesFiring Order: 1-3-4-2Distributorless Ignition System

Do a compression test as a malfunctioning valve can cause back fire through the carbie. Since you have changed all the wires double check you have them in the right order because if they are wrong you could get a backfire.

did you check to see if fuel pump is pumping. fuel filter isnt clogged is it? but you're sure there is no spark. because if there is spark it could be air flow problems.
and you changed the ignition switch so that's not it, how about the starter. is there any noise coming from the starter when you turn key? if it isn't lined up right.
there has to be spark if you did what you said take off a wire at night and try it . electricity to start goes, ign switch battery starter(is there a relay on s10s cant remember), the alternator is here also.to coil/distributor to wires to plugs to gasoline

also it could be the wires coming from the battery , check them for corrosion. if they are really corroded could be problem. and make sure your ground is good contact. ive seen corrosion inside wires causing no spark.
just a few ideas to check.