1. There are a lot of successful men that have no game and suck with women. Settling in the long run.
2. Less attractive females can go on to bag a great guy who loves her for who she is and finds her beautiful.
So I think it's possible. But less likely, unless he's a successful man that isn't that good with women. If he doesn't think he has a lot of options, then like unsuccessful men that feel the same way he'll take what he can get and be a little needy. If he has a semblance of understanding of women, he'll most likely aim for either the most beautiful women or equally successful women. Finding a beautiful woman that is loyal and a good personality in the long run is better than dating a perfect 10 in looks that will probably cheat on you. He's gonna aim for quality.
Men aren't going to care that much if your breasts sag. Be yourself, win him over with your personality. I'm guessing that other than your chesticles having a more extreme angle to their dangle, you're a perfectly attractive female given that you didn't mention any other possible obstacles. Aside from your lacking self confidence, that is.
Seriously though, if you're compatible with the guy, he's gonna be totally on board with your sweater stuffers. We're men, we love the fun bags! And if he is the successful man you're looking for, and he does care that much, you can always ask him to buy you a boob lift for Christmas.
There are plenty of studies that say that successful men, on average, prefer women with smaller breasts so good luck.
Lets also be real for a moment. I know that if I was a successful man I would be a lot more picky both in looks and in personality. Most guys find saggy breasts not a turn on at best and a complete turn off at worst. So just imagine what a group of guys that typically prefer small breasts would think.
Your best bet is to lose some weight to make those boobies look as neat as possible.
What are breasts that are saggy got to do with dating successful men? Breasts can sag for a few reasons, I have had 36G cups since I was 19 and due to the weight and volume they are no longer perky and the fact that I've breastfed two kids and I'm almost 42 hasn't helped but I've found that my breasts haven't held me back in life.