Maybe, just maybe, you can. Here is a tip that might help you to do just that. Make a file of the “Stuff” you have to do. Include all of those things that are not “Close to the Money”. I like those colored file folders for this or even better one of those accordion folders with the fold over flap and string. Just chuck it all in there for now.
Deal with it away from your desk, phone, and computer. Go where you can’t be disturbed. A library or coffee shop can make this chore a break from the chaos of the daily office battle. When you are there, only work on the “Stuff” that is in the folder. I’ll bet that you get it done in 1/3 less time this way. You also gain more productive time when you are back in the office and you lose the start / stop of our interrupt driven world.