I have spent a lot of time in the past trying to pin this down precisely, and unless you can come up with a good and solid source, we have to assume that he was Airborne.
Many sources credit him with 25 jumps by 1962, and Wikipedia describes him as completing jump training.
There is no question that he was booted out in time.
None of the sources I looked up just doing a Google search credited him with being a paratrooper. I mean none, zilch, zero.
A couple did credit him with entering but not completing training. These bios are short so you should be able to check them easily.