It is very possible. Just make sure you do not exceed the Impala towing capacity.
I have a hitch on my Malibu. It has a towing capacity of only 1000 pounds so I need to be aware of how much I load onto my trailer.
I believe the Impala uses similar wiring for the tail lights as my Malibu. This is not standard wiring. You need a special converter for the trailer lights. For my car it cost an additional $25 for the converter.
Your Impala also has a maximum trailer towing capacity of 1000 pounds. So make sure the weight of the boat, motor, trailer, and all of the gear in the boat do not exceed 1000 pounds. See the link below. Towing capacity for your car is about 1/3 the way down the page.
I got my hitch installed by a local auto parts store. Even though I live in a small town, there were several local shops that install trailer hitches. Use the Yellow pages and call around for the best deal. I recommend spending a few extra dollars more and have the hitch and wiring professionally installed.