Nope. The other trays can be set to dedicated, the bypass tray is literally only there to do weird stocks so the assumption is that it will need to be programmed each time it is loaded. (We all know that isn't the case for everyone, but it is the intent the programmers used when designing it)
When printing checks this is an issue, every time you put paper into baypass tray there is message:
" Baypass tray settings " OK Chnage the setting to match the paper.
Is there a way to disable that?