texhnolyze
Banned
I am currently Champion for the Crucible and moderately good for the others. I also have (Defiance Bay missions slight spoilers)
Missions available for both the Crucible and House for that will affect very negatively to the others
I'm going to say probably not in any intended way, no.
Stuff like that sometimes has weird loopholes if you look hard enough, but I doubt it.
I think you can be on the good side of all the factions (almost done with Act 2 here), but if you are good with one faction, another might not want to deal with you.
For instance:I did the quests for the Dozens in Defiance Bay first, and I was on decent terms with House Doemenel, but they wouldn't let me do anything past the first quest because I was too friendly with the Dozens.
Ah, right.
I'm stuck with Doemenel because of the rivalry as well. I can't progress further & accepting more quests from them because I've been in a good mood with the Dozens.