We have disk drive that encrypt with BitLocker. My key is lost, and we haven't any backup of the data. Is there any way to hack or crack and recover our data?
Unlikely. It's AES-CBC-128, so there's no chance of you cracking the key.
There are a few tools (e.g. Volatility, or Elcomsoft's forensics suite) that can recover the master key from a system memory dump, but that only works if the drive is already mounted and unlocked.