... hey truster,,,, short answer is yes,,,,,, but,,,,, there is always a but,,,,, a couple things to keep in mind!
The bar should really have a high Y point, ie this is the height where the front lines separate. If you want to keep the kites performances as intended by the designer, then where the front lines separate can make a difference but this can also be some thing you like too. I found a low V bar made the kite steer waaaay quicker, more pivoty but also made it less stable and worse upwind especially if your a heavy or aggressive rider.
The safety should flag out on one line. Dual front line flag out work but again, not as intended by the designer.
North bars have knots at the end of the steering, with loops for the front lines. No biggie if the "other brand" bar isn't this way, as its easily fixed with a little bit of rope and you can make up some adaptors.
Hope this helps,
Robbie