[adpiucf]

It really depends on the person and the chapter. One of my chapter sisters was a veteran, and another was in ROTC during college. I knew at least one vet in a fraternity, and a few that were ROTC. I realize you're asking about vets, but know that there's not a stigma and Greeks support the military. I knew a guy at my school who pledged, initiated, then joined the military, was deployed, and then returned to college and his fraternity to finish his degree.

The only concern you would have is that you'd be a bit older and you might not have as much in common with the general fraternity population due to age and maturity, depending on the make up of the fraternities at your school. This could be seen as a desirable trait or you would be "the old guy." And sometimes the old guy is a welcome addition to a new chapter, a colony, or a well-established chapter who values your maturity and leadership.

Membership comes down to being a fit with the chapter. So we can't really say one way or the other.

Bottom line: doesn't hurt to try.

You may consider the value of joining ROTC/reserves and pledging while continuing your degree, rather than leaving to join and then returning later.