I absolutely HAVE to work the following day after my upper bleph. Is this going to compromise my healing?

Thank you for your question. I think it's reasonable that you be able to take off a couple days for work from your blepharoplasty. Your surgeon should guide you in this decision. Going back to work one day after your operation may not be prudent.  

First of all,  it is important to take some time for herself to heal. As long as there is no strenuous exercise or heavy lifting involved with your type of work, then a limited work schedule may be adequate if you're just sitting at a desk or doing computer work. Anticipate your eyes being tired for the first week after the surgery. For many examples of upper eyelids, please see link and video below

I would highly recommend that you do not work the day following your upper eyelid surgery.  It does help to rest a bit and it is helpful to keep ice on and off the area for the first few days.  Overexertion and lack of icing could lead to more swelling or bleeding, which could prolong your healing.