Request password to open Documents folder of another user account

There are two administrator accounts on my Mac. Both are for my own use and both are password protected. When I try to open the Documents folder of the second account from the first one, it is not possible. I can change the permissions of this folder though, and then I will get access there. But what I want is being asked to provide a password of the second account each time I try to open this folder or make any changes there instead. Is it possible somehow?