Is it possible to power a cordless drill from wall socket adapter?
The answer is simple:  Don't.  If you did, odds are that you'd spend lots of money on high-current step-down transformers or other kind of power supply and run the risk of destroying your cordless drill.  Corded drills, new from Home Depot, start at thirty dollars  and will have as good or better performance than a $150 cordless.  You'd be time and money ahead by just buying one-- and not have the headaches or risk of electrocution.