You can definitely go to college there - but at 37 what is the point?
Day students are NOT allowed in the license program(s) unless they are former (or current) military.
I agree (as a 1977 grad) its a great school but most of us alumni do NOT look at guys with out a commission or a license as good job candidates. Albeit with an engineering degree you will get some interest from non-maritime companies.
Also - unless you are a female (I am assuming you are not) the chances of getting in are slim at 37.
Why not just go to a regular SUNY college engineering or business program? Without a commission or a license why go to SUNY Maritime?