They definitely do - although it does seems to be quite a rare sight, so perhaps the question is:
"Why do pros get Tennis Elbow much less frequently than amateurs do, considering how much tennis they play?"
VIDEO, Post and Podcast: Do The Pros Get Tennis Elbow?
This is inspired by a question I ran across and aswered on Quora – I thought it would make a great video and podcast.
Video: Do Tennis Pros Get Tennis Elbow?
YouTube link - Video: Tennis Pros And Tennis Elbow
Even if your elbow injury has nothing do with tennis you may still want to take a look. (There's a potentially valuable lesson here.)
For more, including the link to the original Quora question and the downloadable podcast, see the full post at Tennis Elbow Classroom: Article and Podcast on Pros and Tennis Elbow