Oops. Notifications made me think you quoted me. Sorry!
I don't know. I think it should be possible though. The only concern about making an alteration to remove the flaps is whether doing so would leave behind holes in the fabric. That Woolrich is, in my opinion, the closest shirt that I've seen because it also has large chest pockets placed below the chest. I've not seen a good one without chest pocket flaps, let alone one with a rounded collar.