I believe EVENTUALLY humanity will probably grow out of eating meat yes.
We had to eat meat in the past because we hadn't learnt agriculture, we had to hunt for nutrients to keep us alive.
Now we've learnt how to meet all our dietary needs through agriculture there isn't actually a 'need' for it. It's just the 'culture' of eating meat is now so embedded into our society that it is thought to be completely 'natural' and normal.

At the moment we are seeing the beginning of nano technology which will change everything eventually anyway.
We will actually be able to 'grow' meat so if people did still romantically want that exact texture or taste it could actually be organically 'grown'.
But what i have found through not eating much meat is the less you eat the less you seem to think you 'need' it or particularly 'fancy' it.