Yes. It sounds like a dating web site ad.
I recently moved back to New York from Los Angeles. Looking to meet fun and loving people.
Can this be said?
If it's for a dating website, then "loving" is appropriate. If it's just for a social meetup website, "loving" is a bit over the top. For social meetings, I would say "Looking to meet fun-loving people" (people who love to have fun).
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.