Does my 2yo have separation anxiety? Never cries when I leave but runs to me when I come home.

Not clear. If you're asking if your child's behavior is a problem, it doesn't sound like it. Being pleased that a parent has returned is perfectly normal, especially at that age. If the child won't leave your side for hours on end after you return, that would be of concern. But an enthusiastic greeting on return is expected; more worrisome would be if your 2yo consistently ignored your return.
YES. Child miss mom especially if there is no other constant companion except mom, there is separation anxiety.