No, only if you have some kind of terrestrial TV set up or if you watch Live TV online via BBC's iPlayer or one of the major channels' live TV players.
I get that these warts and things appear over time, and it's probably not intentionally the case that whether your iPad is plugged in or not can determine whether your licence covers you, but rather to avoid people creating fixed 'TV viewing installations' in other people's houses and claiming their licence should cover it, but still...