"Slow is smooth, and smooth is fast."
For recovery from serious injuries, that saying is very applicable. Pushing a recovery to hard and fast can make recovery take longer. Patience and persistence is key.
Yes, any loading of the spine will put stress on your injury. It will be vital to keep in detailed communication with your doctor. The question that is most important is whether the injury has developed sufficient knitting of the bone and ancillary support to carry that load for that distance for the number of hours per day you will need to do so. Only your doctor can answer that based on the available objective data that he sees, including radiography (direct contrast MRI, etc).
Keep in mind that whatever someone on this forum says about their own experiences, does not apply to you. It can be a type of guidance as to what is or isn't possible, but like snowflakes, no two injuries and outcomes are alike.
I wish you the very best, and hope that your recovery is swift and complete before September. My prayers are with you.