Question about Ubiquiti UF-RJ45-1G: SFP to RJ-45 module

In short: most likely yes! It's worth trying.

In more detail SFP transceivers generally are quite reasonably defined and abide to sane standards. There are cases where SFP manufacturers went out of their way to implement features of their SFP modules in a fancy pants way expecting special initialization commands in exotic ways which prevents them from working unless specifically recognized and specifically talked to by the device they are being used in.
And there are switch or router vendors that went down the full out dick road, maintaining whitelists of specific SFP modules and just plain out disable modules that are not explicitly whitelisted although there is absolutely no sane technical reason for it. Cisco is kind of one of them because they love selling their branded Cisco modules made by the same couple of those major vendors anyone has them manufactured by for 4 times the price.
But in general in most cases most combinations should just work fine when using straight dumb optical or Ethernet transceivers. Not with fancy special SFP devices like g.fast modems built in SFP form factor for example though.

If you would use a Catalyst Series switch from Cisco you could use "service unsupported-transceiver" that should allow it to work for sure by just disabling Cisco's whitelisting dickery but I suppose there's no such thing on your model.