I worked at a Handi Quilter dealership, and we weren't allowed to even ask if HQ parts would fit on Babylock machines. You'd be better off going straight to a Babylock dealership. Here's what it shows on the Babylock website.
https://babylock.com/accessories/qui...ar-handles-kit
However, if you want to rig something, There should be screw holes on the back of the machine that you could screw something on with. But you'd have to find screws with just the right threads to go into the holes. Plus, the computer wouldn't be hooked up, so you wouldn't have stitch regulator, power or needle-up/down.