No. It is a 1.8 watt panel. A general rule of thumb is that you get about 4-5 watt hours for each watt that the panel produces per day. That is about 9 watt-hours from that panel to your battery at best. A group 24 battery (80ah * 12v) is about 960 watt hours.
A 20 to 30 watt panel minimum, plus alternator on your outboard, is about the minimum that works well. You'll also need a charge controller. The best controller that I'm aware of for this size panel is the Genasun GV-4. I don't think that West Marine sells any MPPT-style charge controllers, just inexpensive shunt based ones like this:
SUNFORCE 8.5 Amp Charge Controller at West Marine
Those get much less efficiency out of the panel (enough so that it's often less expensive to get a smaller panel and a better controller than a large panel with a cheaper controller).
I don't think that you can add a very useful solar charger for much under $150 unless you find a used setup.