Not unless you are weakened somehow. A Slave is a strong person. Not unless you are in Frenzy Stage. Need can sometimes be overwhelming, a bit. For some quite so. Choosing while in Frenzy is a mistake, a miss-take, most times
Being "truly a Slave" you may be inclined to Serve many as you decide to do so. That will be your Need, to be of Service to others you value, to bring pleasure. Be it in drink, food, assistance of some kind, maybe even in some Play, or some other way. But Submitting is not the same thing as Service.
Respectfully~SidheWolf