The context of the word groove here is musical groove. In youth slang of electronic music fans it means aesthetic pleasure while listening to music.
Can I use groove as a transitive verb? As in, "X is grooving me", or even on itself?
The way the word groove is defined/ understood is such that it denotes (1)n. a sense of feeling on the part of someone. (2) v. to cause such a feeling in someone.
Even so, it cannot be used transitively as in a piece of music grooving someone. The music grooves; the listener grooves (in different ways). Nothing grooves another.
As a noun:
As a verb: