I would like to remind you that you can use 2x 22 ohm resistors in parrellel for 11 ohms,
I would say if you just want to switch 2A, a suitably sized mosfet may be better suited, but if All you have is a 2n2222 and a 2n3055, then sure, lets get it switching,
the 2n2222 has a beta (current multiplication more or less) of atleast 100, so for every 1mA in, you get 100 through the transistor,
the 2n3055 has a beta of atleast 20,
Lets say we hook them up as a darlington pair, this will drop some voltage, but will make it easy to get the amount of current,
So to switch 2A with the 2n3055, you need atleast 100mA into its base, so your 2n2222 needs atleast 1mA into its base,
https://www.kitronik.co.uk/blog/how-a-darlington-pair-transistor-works/