Yes you can. There are some caveats to this, though. #1, you need to bring this up with your recruiter at the travel nursing agency. They need to know up front that your housing issues are a bit different then most other travel nursing jobs situations. It is just like renting an apartment. If you have a pet they may have restrictions or may want you to post a pet deposit. Don’t expect your travel nursing agency to do this.
Remember this, too. While pets are nice company for you, you aren’t much company for a pet when you are out working a shift. If the pet is going to be alone a lot you may want to rethink taking them with you. If you are traveling with others who will be with the pet when you are working, that’s another story.
Hope this answers your question. And if you want further information on a high paying travel nursing job, fill out the short form here and I will personally make sure a few travel nursing recruiters see it and get back to you if they have a fit.
Conrad