It might be legit, Omega did make quartz Constellations in the 80s that looked something like this. I usually see them with an integrated bracelet or a strap that attaches in a different way, but who knows. Maybe real or maybe fake. Not a desirable or popular model, so not something you'll often see here on OF, but someone might recognize it.
It would help if you could show photos of the inside, the reference number will be somewhere, and we could see if it has a legit Omega movement.