That wouldn't seem right. What if , say, 20% of the voters wouldn't have voted for that person? If it were legal, heck, that would be an election loophole, and ever state could try it. Run one person, ask him to leave, and the Gov. chooses the next Senator. Doesn't sound good. One party would always win depending on who the Gov, is.
Which is the problem with it. It makes all election "rules" not rules. If they become anything goes, then how do we have any credibility?