Depending on the FPS and the thickness of the Styrofoam, possibly, but normally no.
You search 'how do you calculate BBS' on google
bbs book
silver bbs
The Major BBS was created in 1995.
Searchlight BBS was created in 1985.
ExecPC BBS was created in 1983.
The population of BBS Kraftfahrzeugtechnik is 1,200.
BBS Kraftfahrzeugtechnik was created in 1970.
Airsoft bbs are made up of plastic and are 6mm in diameter and are .24 cal, BBs however are metal and are .177 cal (4.5mm)
styrofoam is cool
Unless you are talking about a metal bb gun, no. All bbs are standard unless metal. And yes, big bbs are stronger than small. Learn physics.