In my opinion, it depends how used the rabbit is to its surroundings, its routine, and to people, as well as how territorial the rabbit is.
I need to be able to take my rabbit to work, on vacation, and when I go out. When at hotels, obviously the rabbit must be well litter trained, non-destructive, and not territorial beyond the point of the harmless chinning. Through trial and error, I've come to believe that you can easily condition a rabbit to deal with change better, and as a result you can introduce new situations without concern of stressing the rabbit to a point that is unhealthy. While it requires an investment of time, it is relatively easy to do because it mainly entails introducing a rabbit to new situations. If and when you determine the rabbit is stressed by the change, you call it a day and then start again later with the goal of going a little further. This can entail going to different locations, using multiple enclosures or rooms, and changing up patternized routine so that the rabbit doesnt become so set in a single way or time schedule that any change to that fixed routine can cause major distress. This conditioning can reduce territorial behavior as well, especially if you change the location of feeding, practice removing food as well as as providing it, and changing the time you feed. If you ever need to take the rabbit to different locations, moving the location of the litterbox on a frequent basis seems to make it easier to place a litterbox in a hotel room that bunny has never been to before, but he/she can then use the litterbox regardless of the change in scenery (the process of getting to that point sometimes means accidents at first.) This same conditioning also works to acquaint rabbits to frequently meeting new people without having any significant concern/fear over their presence. This has worked well for me at least.
The exception may be if a rabbit spends a significant amount of time free roaming, as they can easily start to hate any enclosure and this comes with a certain degree of stress that I find hard to eliminate or reduce. At least to date, I've had zero luck getting a rabbit that spends a lot of time roaming to not despise cages, and I think it is partly because they prefer to be near the action. My current rabbit becomes enraged when put in an enclosure, and it is the only time she is unhappy and I am having zero luck conditioning her to deal better with cages. So in that regard, I don't think it is going to be possible to affect her stress levels when in an enclosure - it might be possible for some or many rabbits, but I am having zero luck here!