less likely...but statistically rapers aren't made up of people who are sex-deprived.
it's usually due to negative reinforcement one way or another...insecurities that need to be purged from their conscience, inability to socialize with the opposite (or same) sex, anger and frustration at failed relationships etc. there's also...
...self-relief so sex-deprivation wouldn't normally be enough of a physical issue to spur psychological impulses to rape someone.