This circuit works!
Swich top is R
Swich bottom is S
A RS FLIP-FLOP can be builded in multiple forms. Here is a example of this. You can, ¡¡ALWAYS!! build a digital circuit using only NOR or only NAND. Of course, mixing these two.
Remember that an RS FLIP - FLOP has a prohibited position. That is R= 1 and S=1.
To convert a NOR to a NAND or inverse, it's necessary to use double negation technique. But you can ¡NEVER! change a NOR for a NAND directly or inverse...