Ambassador, British Airways; FlyerTalk Evangelist
Join Date: Apr 2012
Location: Leeds, UK
Programs: BA GGL/CCR, GfL, HH Diamond
Posts: 39,846
Yes, so any unused partner cards will disappear at your year end (8 March) if not gifted. A few days after you start your new year you will get a new set of partner cards (1x gold & 2x silver) to gift.
If you can find someone to gift your current partner cards to you may as well do it before your year end.