@Deadwood Al 

Yes, this is easy to do by changing a preference.

To change the preference, pick Edit | Preferences from the QB menu. Then choose Checking and then the Company Preferences tab. Then select the preference "Autofill payee account number on check memo."

Then when you pay bills, the bill payment check will print the account number in two places. Once on the check memo, and then again at the base of the check voucher:

Note that it will print exactly what you put in the Vendor's "Account No" field with no title, so I literally entered "Acct #" before the actual number there to get the results shown above.