No, the cutoff date is the date and time by which you can't add anymore things to the tote-bag (ie. in this case 10 a.m. 2 days before your delivery day).
You're right, I read that in the wrong context. Thanks for clearing it up for me.
In this sense "cutoff" is a noun, possessed by you: "your cutoff."
While grammatically correct, it is confusing if you stop and think about it while you are reading.