Doubtful. The same speculation occurred during the last speaker crisis. In general you would need a coalition of democrats and republicans willing to vote together to preserve his speakership. Voting with a large bloc of democrats would be politically dangerous for most R’s, and I’m not sure D’s are going to perceive much benefit in supporting McCarthy anyway. It’s not like he’s particularly moderate or left-leaning. And dysfunction in the Republican caucus is probably a political win for them, so they’d have to perceive a benefit bigger than that one as well.
If he was willing to offer some significant concessions then maybe but I don’t see that happening either.