Short answer, yes.
Long answer, be sure to use the same XR3-RED size grip frame. It would have to be for the SBHs with 5 1/2" barrel or shorter.
Blue steel GF marked XR-3 (the dash is important).
Stainless marked: early = KXR-3, next = KXR-3 with a separated N, latest = K in a circle XRN-3
What vintage is your NM Blackhawk? If not sure, what is the serial #?
The later the grip frame you get, the less chance the ears around the hammer will be too short. If you buy a new one, no problem, it will have to be fitted, polished and blued anyway.