No, but their descendents might.
Joking aside, I would not expect this.
Sorry about that. So you think that Hummingbirds and Ostriches, that can't mate now, will gradually change form until they are very similar in shape, and then they will be able to crossbreed? Do you also think that marsupial wolves, and mammalian wolves would have been able to mate, if they had been on the same continent? May I assume you also suspect that the various bird families that occupy similar nitches, and are similarly sized can mostly interbreed?