Not even remotely possible in a practical sense, for so many reasons. Summed up by it wasn't designed for it. Radiation, fuel consumption required for the delta V, supply vehicle capabilities, generation of space debris, regulatory compliance, design lifetime, etc.
If it was practical, they'd be doing it instead of Artemis.
Depends if you want to use nuclear or not. It's very possible if you have a nuclear rocket lifting it, but that's at least a decade away.
> at least a decade away
Just like it was in 1950!
It's in active development.
https://www.space.com/nasa-darpa-nuclear-thermal-rocket-drac...