Nope, the bore will be fine. Just make sure to wipe the gun down with a clean cloth at the end of the day to avoid surface rust, and clean it when you get home.
I have always at least run a couple of oiled patches though any of my firearms after use of any kind. I've got a bud that says I hurt the accuracy of my rifles by always keeping bore cleaned. What's your guys take on this?
Your first shot from a clean bore, called the cold bore shot, often has a slightly different point of impact than subsequent shots. Other than that, no, there is no problem. Just be sure you don't leave a lot of oil in the bore before you shoot if again. If you do leave a significant coating of oil in the bore for storage, run a clean patch through it before you shoot it. Oil in the bore is an obstruction and can increase pressure.