No. If that could be done then none of us would own bitcoin.
think about your statement.
I said that one of the inputs would be the current private key that only you should know
Not to get into some argument, but you did not mention that the private key is an input.
So, in that context, what exactly are you even requesting clarification on?
You want two private keys that individually correspond to one address,
but the first private key is the input for the second private key?