It won't heal itself IMO. It's wood, not fresh green growth.
I had a Black Locust with three trunks growing out of it. It was a good sized tree. One of the three trunks was coming out at a pretty serious angle. It was arguably going more horizontal than vertical. That trunk split where a major branch sprouted out of it, that branch pretty much going vertical. I had a tree guy come out (this was at the extreme for ladder work and I'm not fond of tall ladders) and he drilled through and ran a threaded rod through the two halves of the trunk, put big washers and then nuts on and cranked the assembly down as tight as he possibly could. It pulled the split together not completely but enough to where it wasn't even all that noticeable.
With the three trunks he was able to run a cable from that trunk (he threaded in an eye bolt) to another trunk (another eye bolt) and got it good and taught. Once he had the cable supporting part of the weight of the split trunk, he was able to tighten the nuts further and he cut off the ends of the threaded rod. I lived there nearly thirty years and in the last year the cable finally snapped. The trunk did not come crashing down though. The end of the threaded rod, the washers and the nuts, the tree grew over them. You couldn't tell they were there.
So, after that long story, if you have enough meat to work with (on the tree, on either side of the split) the threaded rod just might be the ticket.