Every Little bit helps!
I suspect that if the Fridge only draws 2.2 amps, that would be at 120 volts. Equivalent to 22 amps at 12 volts.
The real issue is the OP is going to be using it in Alaska.
Alaska is not known for more than 90 Sunny days a year.
The panel is rated for 100 watts with a Bright Sun at Noon, under a Dark Blue cloudless sky, like you see right after a cold front passage.
A light blue hazy sky is going to reduce the output noticeably.
The spec also assumes that the panel is pointing directly at the Sun.
Most of Alaska is above 60 Degrees North.
The Summer Noon Sun on Jun 21st is barely 40 degrees above the horizon, and lower the rest of the time.
Placing the panel on a flat surface is going to limit its output to well less than half.
Tilting up 40-60 degrees and pointing it due South will help.
The Alaska Sun tracks through a lot more sky than it does in Florida.
The Sun rises in the North East, Passes due South, but nowhere near Overhead, at Noon, and sets in the NorthWest.
It spends a good portion of each day North of an East/West line.
Pointing it South and leaving it will not make good use of the limited output.
A mount that tracks the Sun throughout the day would be justified.
Solar panels for this application are just not to be recommended.
I'll might suggest that a wind generator, like used on sailboats, might be more successful in this application.
They naturally align themselves with the wind, operate at night, and work especially well during storms.