No. My dd was August 20th, she came Sept 1st.
I had her with a midwife who wasn't even in the state until Sept....
The b/up dr (whom I liked) did put some pressure on me but I refused by not making any further appointments, lol.
It was a long two weeks, but I swam a lot, kept busy and just had faith that my body would know what to do. It did.
I believe that induction is one of the most over-used interventions out there. Sure, there are risk factors when being 'overdue' but there are also serious risks with induction... I'm more worried about the latter.