I took a look in the trunk area today and it looks like there are some options to secure the wheel / jack.
In the first photo, the black circle is a plug that covers a hole in the floor panel. I suspect this would be to pass wiring. You could remove the plug and fashion a secure point using a plate below and above the hole while using nuts and bolts to sandwich the the plates above and below the opening. This could then a base for a longer bolt that you can run into the wheel lug hole in the spare.
In the next photo, you have the tie down point for the supplied EVSE. This looks to be a secure tie-down point and you can probably "share" this to secure a cable or something to keep the wheel down. Think leash.
In the last photo, this is the cubby on the left. you see a hole already in the inside body panel -- this could yet be another tie down point for a "leash".
Any one of these suggestions could give you the ability to tie down without drilling any holes or making the leasing people angry.
Disclaimer: I'm not an engineer and haven't calculated if these points are strong enough for the potential forces. But it should be better than nothing.