Sadly no. I actually went full-on "wait a minute...!" a few weeks ago when I discovered this, but practically speaking, nobody's going to do it ("what, factory reset my phone?! hahaha NO"), and so implementing the necessary support would ultimately be a giant burden.

Technically 100% possible, but practically never going to happen.

If someone were willing to write and maintain the necessary plumbing and then poked F-Droid, it would be interesting to see if they cooperated, but they may well be reluctant to.