Yes that will work. I had the same problem in my tinnie, I used a portable jumper pack from walmart, it has a cigerette lighter outlet on it, so I put the appropriate male plug on the wire from the fishfinder and just plug it in. I took it apart and found it has a sealed lead acid battery inside, rated at 9 amp/hrs. running th finder only, I only charge it every 2 or 3 trips never had it run down enough to cause the finder not to work.
I also made a portable live well out of a cooler and a Rule 300 bilge pump that i bungy to a seat. It'll run that for over 2 hrs (I stopped after 2 hrs, recirculating from a bucket while on the trailer) and my finder showed the voltage to still be over 11 volts. I fish mostly salt, and use it for live mackrel bait.
I just have to remember to put it in the boat if I bring it inside to charge--- forgot it twice!