No, it wouldn't.
It's the same fallacy as "if only women showed compassuon and empathy toward poor lonely men, they wouldn't be so violent."
I don't think you're right about "many" women liking being pursued. Many is a relative term, and I'm not saying there are none. I'm saying 1) I don't think it's anywhere near as prevalent as you seem to think, 2) tolerance is not preference, and 3) the few I have run across have a flipped predatory concept of sexuality so I don't think that's a good thing or what you're envisioning.
Women pursuing men in a "predatory" fashion en masse will make the situation worse in my opinion. Men think they're being emasculated now. Wait till they lose body autonomy and have to deal with their bodies being a public commodity.
This "predatory" aspect of male sexuality is THE main part of msle identity therefore it is up to men to redefine their themselves. Women cannot do it for them. We're having to do the same and we're not done yet.
Men have to drop their violent identity and commit and prioritize themselves to identifying as a place of safety.