I don’t see why not.
He’s no less qualified than the Muslim we are presently stuck with.
During Greene’s time in the Air Force he received numerous poor evaluations from his superiors. The evaluations stated Greene was an ineffective leader who lacked organization and was unable to express thoughts clearly.[21] Greene received an honorable but involuntary discharge from the Army in 2009 after a 13-year career and has been unemployed since.[19]
wikipedia.com