I've been in a relationship with another chaser for more than three years now, and chasing has seldom been an issue of any significance. Indeed, it's part of what brought us together in the first place! We've worked out what I feel is a very productive chase partnership that augments our personal relationship. We have an understanding that what goes on during the chase when tensions flare doesn't come home with us. As with any relationship, it's all about communication!
My previous relationship, on the other hand, was with a non-chaser. I took him on one chase (a bust), and it was kind of meh. I think he expected a different experience than he got, in spite of a great deal of coaching from me beforehand. I was talking, but was he really listening? Maybe not.
So, can the two mix? I vote yes, as long as both partners communicate effectively.