My 2003 grand caravan will not start battery is clicking could it be battery starter or alternator?

More in likely the click your hearing is actually the starter or starter solenoid. This however could mean a few things.

First: Check the connections of the battery terminals. Make sure that the posts of the battery are clean and free of corrosion, then check the battery cable terminals as well. Corrosion on these could lead to a faulty connection and not allow the battery to give out it's full potential.

Secondly: Make sure your battery terminals are good and tight. Do not over tighten them, but make sure they don't move around at all. A loose connection here could not only drain the battery over time, but also make you believe you have a dead battery. Always check this if your battery is thought to be dead. Many of the times this can be case.

Third: Have your battery checked if these don't work after jump start and given time to charge. If you required a jump start, let the battery charge with the Alternator for about 30-45 mins (If fully drained - I.E. headlights dim)

The Alternator can be checked very easily with a Voltmeter; while your vehicle is running, place the leads of the voltmeter upon the battery posts, if it reads around 14 volts then the alternator is working fine.

If all of this didn't fix your problem, and you have a charged battery, but the vehicle still will not start and still makes the chatter, then i would suggest to have your starter tested, if found bad, then replace it.

On some older vehicles they have the starter Solenoid as a very separate piece of equipment. If the starter is good, then have the "Starter Solenoid" checked.