I don't think it's as much an issue of 'is it allowed' as much as it is 'Will you allow it'. There are already others who share their suits and somewhere on the confuzzled website I can remember it saying that it doesn't have to be the same person wearing the suit every time, when giving advice as to what you can and can not do with and around suit(er)s.
Fursuits are the properties of people, not the convention. If something happens to it, whether you are wearing it or not, it's all down to you. When in doubt, ask staff.