She’s an American citizen over a certain age, so she can.
The question should be WHY? Why would you (or anyone) want the job?
If you want to get involved in politics shouldn’t someone start at the local level, working up to Congress, or Senate, First?
Or start as the Mayor for a town like Hollywood, etc.
It seems to me that running for a Governor with no real political things on your resume is like pushing someone off a high diving board and seeing if they can swim or drown
Edit: I’ve volunteered at the local township level and volunteered for a congresswoman in thr past. I’ve enjoyed that.