Hi, so you are basically describing how the F2 view works, but you want the same camera control in the default F3 flyby view?
No, this is not possible. The closest you are going to get is to hit F2, move and orient the camera as you wish, then click CTRL-F3 to "toggle" the flyby function from this angle. Same goes with the F11 freecam view, if you hit CTRL-F3, the camera will start tracking your plane (or whatever was the last object in the F2 view).
Hope that helps.