In this case, yes. The character Kirk was fighting in the gif you posted was surgically disguised as an Andorian to disrupt the diplomatic talks regarding the dilithium mining world, Coridan, in the episode "Journey to Babel".

The Andorian in the screen grab in your second comment is an Andorian.

When they're disguised as an Andorian, yes.

There are also scenes with Cardassians that look like Bajorans, a Bajoran that looked like a Cardassian, a human that looks like a Malcorian, and a human/Betazoid hybrid that looked like a Mintakan,