If you are a W-2 employee, you can't deduct work-related expenses.
If you are an independent contractor/self-employed, you may be able to deduct temporary lodging expenses if you:
1. Work far enough away from your regular tax home that an overnight stay is reasonable, and
2. The assignment is temporary, meaning it is expected to last and actually does last less than one year.
Your tax home is the geographic area where you earn most of your money. If this arrangement is indefinite, not temporary, or will last more than a year, then your travel trailer is your tax home and you can't deduct expenses because you aren't working away from your tax home.