could be, sorta hard to diagnose without getting dirty, charge the battery and see what it's voltage is, under 12.3 or so after it's rested a little while after charging and it's bad, with the car idling with a good battery it should put out over 13 volts close to 14 would be good, 12.5 or less and somethings bad, try the brush pack on the alternator first it's on the back held with two screws, the two brushes should be atleast 1/8" or longer and the faces should be shiney from riding on the armature, a short and dull looking brush is a dead give away that it's worn out, a new brush pack should cost $20-50 and shouldn't be hard to find
all america wants is cold beer warm cat and a place to take a poop with a door on it