There two issues to be concerned with, and both are specific to your frame, so you'll have to make some measurements or take your chances.

1) Brake reach. "27.5" rims have a wider radius than your current rims. If you have disc brakes, this won't be an issue, but with caliper, cantilever, or linear pull brakes, you'll need to be able to raise the brake pads high enough to reach the rim. You'll need to be able to raise them about 12mm (1/2") for this to work.

2) Frame/fork clearance. The wider radius brings the tire closer to the frame and fork. Too wide a tire may not clear the frame and/or fork. This is trickier to do without having the actual parts in hand because tire profile varies with tire construction and rim width, but if your tires are already close to the frame of fork, that suggests you may have problems with the "27.5" wheels unless you run much narrower tires than you currently use.