If the batteries are in a house, there is definitely a chance of explosion.
I was in the business for 38 years and only blew up /one/ battery.
I ASSURE you, that was one battery too many! It caused $2000 in damage and my ears did not stop ringing for over 24 hours.
Fortunately I was using all of my safety equipment and was not injured otherwise.
BTW: Though you should always wear safety goggles when handing a battery, if you do get acid in your eyes or skin do not panic.
The acid in a battery is not strong enough to "eat a hole through you"...and if you neutralize the acid within a few minutes, you will be fine.
For your skin: soap and water is fine. For your eyes, there is eye-wash specifically made for such...but if none is avail, rinse them out for ten minutes in running water.
For cotton clothes...forget it. Even if you neutralize the acid at once...it will be too late.