How can i test my printer is working without insert the catridge

How could you, possibly, really? Depending on what model it is, you can power it up, connect it to a computer with drivers for it, and expect to see a message that it's acutely aware that the thing it needs before it can print is some kind of ink receptacle. The state of the print head (e.g. unclogged, for Epson and other cases which might need a solvent cartridge if they went without use for a bit, and unpresent, for HP and other thermal models) is probably less certain.

You can make a print cartridge emulator if that's a good use of your time, and test it then....

You can ask a local refill company to help out since they stand to lose a little time helping out, I suppose.

The first thing a (human) printer does when printing something though, is to set up a test print on a similar paper stock to the one she wants to run. With ink and a proof sheet.