Yep. The fuses are for the trailer lights only. The truck's signals will still work. If you pop the cover off the fuse box under the hood, I believe they are #16 and #17 fuses. One for left, and one for right.
This. My 15 Sierra popped both left and right signal + brake light fuses recently. There is 1 fuse for each side that does signal and braking. Running lights are on a separate fuse.