Sort of, yeah. Remember that the McCoy we see in TNG is supposed to be nearly 80 years older than the McCoy we see in the movies! Some gray hair and a few more wrinkles isn't going to cut it.
But a face that looks like a jello mold is?
This is convincing:
This is not:
The original makeup worked with Kelley's face. The Westmore makeup is "generic old man #12".