It can if all participants are comfortable and willing for that to happen.
But the main thing here is lack of clear communication about boundaries for the shared home. And the fact that you are not comfortable and that you all do not seem to do conflict resolution in an effective way.
Maybe those could help you articulate jealousy feelings.
As to you knowing you do not want poly shipping but you continue to participate in one... I can only suggest you stop participating in things you do not really want. There is nothing wrong with monoshipping.