Upgrade to PS4 Super Deluxe Edition Post-Release?

I was planning on pre-ordering the Super Deluxe Edition prior to the 13th, but I noticed that the $100 promotional price is listed on the Playstation 4 store until the 16th. If I purchase the Standard Edition the 12th, will I be able to upgrade to the SDE by paying an additional $40 by the 16th?

I wouldn’t mind playing a couple of days before I commit to the Season Pass.