The short answer is Yes - we do it with just solar, no wind turbine.
OneStep has the right idea & good info. To take it a step further, we had our son do a complete Energy Budget
, which you can see online. Take all your energy consumers (VHF, fridge, pumps, etc) & measure how much current
they draw (do it accurately). Multiply that by how long they're on in a given day. A spreadsheet really helps here. At the end of this you'll have your amp-hour (or amp-minute) consumption
for a day.
From the above exercise we found that if you divide the wattage rating of your solar panels by 3, that will give you amp-hours into your battery on a sunny day in the tropics
. So, we have 480W (nominal) of solar panels, & they give us ~160Ah into the battery (our MPPT
controller boosts that). Higher latitudes will give you more in the summer but less in the winter.
It's a good idea to have enough battery capacity to never cycle the batteries
too low - keep them in the top 20% & they'll last much longer. You'll also want capacity to keep you powered through a series of cloudy/windless days. We have 660Ah of deep cycle batteries
Converting to LED lighting
& other power reduction techniques (like better insulation
on the fridge/freezer) will also help a lot. We converted our G4 Halogen bulbs to (brighter & warmer) LEDs for $4 each at Lighting Matrix
. Now we don't really care if we leave the lights on.