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.