Can a alternator PULLEY make a chirping noise?

I have a 2000 Dodge Durango SLT (5.9L) and it is still making a chirping noise that is very annoying. I just installed a new serpentine belt tensioner & a new belt. It stopped for a day but is back. Also during this annoying encounter, on a cold start before I replaced the above mentioned parts it would stall in the parking position. But after I replaced these parts it doesn't do that no more. Could the alternator be going out? Please help!