It's certainly possible, especially if your solar
capability (in amps) is a substantial percentage of your battery
capacity (in amp-hours). If your solar
capacity is less than about 2% of your battery
capacity, you probably won't cook wet-cell batteries (although you might need to top up the water). Gels & AGMs are a bit more delicate & don't tolerate higher voltages - & solar panels
will quite happily continue supplying current
up to ~17V!
If you have, say 300Ah of wet-cell battery capacity, you can probably install up to 6A of solar panels
before you need a regulator
. But regulators are cheap
- you can get them for ~$30. Given the price
of batteries, a regulator
is probably a good investment.
We've posted an article on Solar Panels
that you might find interesting.