Can a tire explode from Over-inflation?

YOu likely couldn't get enough pressure in to physically blow up the tire with a consumer air compressor and as has been said, the bead will likely go before the tire itself.

I saw a split rim let go at a tire store when I was getting work done on a company car. Fortunately, they were inflating in a steel cage so no damage to people, but the tire jockey had somehow run the air hose between one of the steel bars and the tire and when it let go, it severed the hose just like it had been cut with a knife.