It really depends on the school you go to. At some schools, 22 year old transfers regularly get bids, at others it's unheard of. Honestly, you have nothing to lose by going through recruitment and just seeing what happens. If nothing else, you'll meet some new people.
I would think that at a school with only 2 sororities, you, a 22 year old transfer with at least 2 years left, would have a decent chance at getting a bid. Of course, no one online or in person can tell you that you have a X% chance. I'm just thinking that if this were a school where girls were clamoring to go Greek, there would probably be more than 2 sororities.