Can I remove this wall?
Based solely on typical building practices and my assumptions about your home^, the green wall is likely not load-bearing and can be removed. 

The doorways can almost certainly be exchanged, providing that you implement the same structural header arrangement that the existing door has now. It's unlikely that there's a post in that location, though there may be plumbing, ducting, or wiring to consider. 

^ That the roof system runs across the narrow dimension of the home, and that floor joists rest on the center wall.