Yes, he possibly can.

Construction is inherently dangerous work, and it is well known that in San Diego, California or Chula Vista for that matter, construction sites can get very busy. However,those dangers can be managed with good safety protocols that are employed at the job site. If your supervisor failed to provide you with good instructions about how to operate machinery, or for inadequate supervision for a job site procedure for instance, he or his company can be liable for injuries and damages under California law.