Hi Julien!
No...when faced with a similar situation, after unhooking the brake noodle or straddle cable, I deflate my tire and squeeze it narrower with my fingers so it will pass by the brake pads. Once in place, I reinflate.
I am on tour now, but found I had to do this on my Tandem when I replaced the 1.5in road slicks with 2.0in Duremes. I also have to do this on one of my randonneur bikes, so the 37mm tire will pass the brake pads on my brazed-on centerpulls.
The deflate-and-squeeze routine is fairly common when running fat tires, more so if the tires are wide in comparison to the rims.
Best,
Dan.