no you can't. Your father's insurance is for his car only. Your own car must have its own insurance. If you are the main driver then it must be in your name or it will be illegal and invalid. "Taking a chance" will ultimately cost you even more in legal issues.
Private car insurance policies are for one car only. If you went on Dads insurance as a named driver you would be insured to drive his car and no other car whatsoever (he MIGHT be able to drive other cars not belonging to him but you WILL NOT)
You are clearly looking at ways to get cheaper insurance - you need to read this