Are you asking:
a) If the Smok Spirals coil will work in the Smok Vape Pen 22 tank?
OR
b) Will the Smok Spirals tank work on the Vape pen 22?
I'm not sure which, but at a guess I would say no to a) and maybe, possibly? to b)
Sorry I don't have either the kit or the tank or the coils to say for sure.