Take a look at this thread below for more information on the ways to qualify for NHR. I think you may be effectively too late. I believe for a rental contract to show means of moving to Portugal it had to be dated by the end of October. It’s a little conflicting here, look at the points of 1 and 2 in the link below. One argument is showing you intend to occupy that property by end of year, but for NHR it has the October date for the signing of the contract.
On paper, you can still use an employment contract signed by the end of the year or you can submit the application for any VISA/Residence permit by end of year so it is “In Process”. I do not know if gathering those documents is possible on this short timeframe.