No, it is not feasible. It is not feasible to sustain 1 degree of bank, let alone one tenth of that. There is no angle of bank indicator that precise, and even if there were it is not possible to maintain that level of accuracy for such an extended period of time.
For an example, ask yourself this: is it "feasible" for you to hold your fingertip exactly .001" from the tip of your nose for 2 hours? (Maintaining an air gap, not using a feeler gauge...) Of course not. It is not realistic to expect that kind of accuracy and inevitably you would sometimes touch.
However, you can reasonably meet the intent of keeping your finger fairly close. Or of flying a fairly precise arcing ground track if that is your goal.
For another example, assuming you have a driver's license and drive on high speed interstate highways, pay attention the next time you are on a gently arcing curve and see how much your steering wheel actually moves to hold the road. It doesn't. Not perceptibly. Not at 60MPH on a very gradual bend in the road. You simply hold it steady and make miniscule adjustments to stay in your lane.
Same thing in an airplane. You cannot hardly even detect one degree of angle of bank, you simply make fine and continuous adjustments to maintain track. (And sometimes a degree or two of bank is needed just to keep a straight course!)
As it has been pointed out, you are looking at this backwards: It is very easy to fly an arcing path, but you wouldn't do it in the manner you suggest.