No. Your dealer just wants to sell more ink carts.
After running out of one ink several years ago in the middle of a print, having no spare, late on a Friday of a three-day weekend when I wouldn't be able to get a spare until Tuesday, I started keeping two complete sets of spares around.
I have used cartridges that were at least two or three years -- maybe more-- past date with no problem whatever. Even if the change is in the middle of a print, I can't see where the old cart ended and the new one started once the print is finished.