Asking to be induced at 40+5?

I have an appointment Friday, and I see no sign of this baby girl coming out soon.. My husband has an extremely important job interview for correctional officer in a town 3 hours away the day after the doctor wants to induce me (Tuesday)
I was due the 19th, I'm worried sick because if do get induced on the 26th, we cannot afford for my husband to miss that interview and I would be heartbroken if he missed the birth of our first child.
I want to ask my doctor on Friday to please induce me on Saturday or Sunday
So my question is, do you think he will say it's ok?
On top of the interview, my body is very tired.. I can't even walk to the bathroom sometimes because of the backaches that I'm getting :(