You most likely have a broken supply tube going to your ice maker. If you are mechanicly inclined it is not that hard to repair it. If you are not that handy with a box of tools it may be best to call for a service tech to repair it.
My personal policy on questions such as yours is; "if you have to ask if you can do the repair yourself. I recommend against doing so."
The repair will cost around $100.00 including the call and parts. Probably less depending on your location.
The biggest problem you may run into doing the repair yourself is that the manufacturers hide key componants that if you are not carefull you can easily ruin if not disassembled properly. Most of these are little plastic clips that if broken off render the unit inoperable.
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