Can debts that you know for sure will be incurred in the month after
filing (examples may be utility bills, credit card bills, rent), be
included in a bankruptcy petition?
Or can debts only up until the date of filing be listed?
Initially, you can only list the debts incurred. Sometimes debts incurred after the filing of a petition will be "administrative expenses" that can be added as they are incurred, although for fees other than court costs and legal fees, i.e. for the kinds of debts that you reference, post-petition debts can usually only be included in a reorganization under Chapters 11, 12 or 13.
A Chapter 7 (liquidation) bankruptcy will generally not discharge post-petition debts.
A Chapter 11, 12 or 13 reorganization bankruptcy plan adopted by a court will generally only govern post-petition debts pertinent to the operation of an ongoing bankrupt business, not post-petition personal expenses.
Is this something that differs by state?
No. It is governed by Title 11 of the United States Code and is uniform throughout the United States.