No, unless for some reason you think BA was at fault!
My 12 month old did BGI LGW 2 weeks ago, overnight, and slept for almost all of it. The other 2 babies in CW also slept well. Luck of the draw. Anyway, since it is clear on the seat map where the babies will be, assuming they have bassinets, you can have a quieter life by avoiding them.
Personally, if mine plays up, I take them to the galley and let them have a crawl. Normally cheers them up.