No, your home insurance does not cover flood damage. Flood insurance is a peril, which is the insurance way of saying how the damage or loss happened, that is specifically excluded by your home insurance policy.
The good news though is that there is a solution to this problem and that is to buy flood insurance.
Flood insurance will cover water damage to your home and personal contents. (For more specifics on how this works check out this overview that the National Flood Insurance Program put together for more details.)