There are a lot of different kinds of vibrato, but all should be executed on both guitars. Electric and accustic.

You should check out this thread on the forum:

https://www.guitartricks.com/blog/10-Things-You-Need-to-Know-for-Killer-Vibrato

The one or the other different vibrato might be a bit more difficult to play on the accustic (like the "bend-kind of vibrato" but it is a nice "workout" for your fingers and you will get a lot better at your electric guitar vibrato after practising for a while on the accustic.