Yes absolutely.
The Poly specific problems I often see come from couples who have rules around how integrated partners are allowed to be into family life.
Eg.
Ben and Sally decided that their other partners would not meet their children or visit the family home. They aren't out to friends or family, and they don't want to invite suspicion around the atypical terms of their relationship.
Ben found a partner through online dating with whom he could build a long term "secondary" relationship despite these restrictions. It works, but it would be perhaps easier and a little nicer if his partner could come to his home or attend some social events.
Sally falls in love with her best friend. A woman who has been an "auntie" to their kids and knows her parents. By being a friend, she has transgressed all of the boundaries they set for partners already.
How would they keep within their original agreed parameters at this point?
Ben might well feel that it's kind of unfair that Sally has found a loophole meaning that her partner can be present, just maybe staying in that friendly capacity. She can still be there at birthday parties and in pictures and making memories and that's a big thing.
But maybe Sally's girlfriend might have a problem at some point with having to remain closeted despite the evolution in her relationship with Sally. Other people don't have an issue with that. I think
@kdt26417 has that situation where he is known as the platonic friend in his vee and it doesnt seem to be much of a gripe overall.
Sally could impose restrictions on her best friend now partner that were never in place before to even the balance. Now she can no longer come to the home. She cannot attend social events. But that's just going to be weird. It will draw more attention than it will deflect.
So as a friend of (other) poly people, or a member of a forum like this, you can see any member of a "someone tried poly with their BFF" story coming to seek advice because of the many complications that can arise.