Can i apply STEM- OPT from different university

Can i apply for STEM OPT from a different university.I completed my Masters from a X University and got my OPT on it.But i cannot get a STEM OPT on the same university name.So can i do a second masters from Y college and apply for STEM OPT this time since the college X was not in a state to approve STEM OPT.Please let know,I would greatly appreciate.

(X,Y:Could be any college)

Thank youPavan