Yes, the United Kingdom asserts sovereignty over a wedge of Antarctica known as the British Antarctic Territory (BAT). It is one of 14 British Overseas Territories, though its status is frozen—literally and diplomatically—by the Antarctic Treaty System.
The 1959 Antarctic Treaty (now 50+ signatories) freezes all territorial claims. It prohibits new claims, military activity, and mineral exploitation, dedicating the continent to peace and science. The UK, like other claimants (Argentina, Chile, Australia, France, New Zealand, Norway), neither renounces nor enforces its sovereignty while the treaty is in force.
The BAT gives the UK a voice in Antarctic governance, a platform for world-class polar science (climate, ozone, glaciology), and a strategic foothold should the treaty regime ever change. For now, it's a claim on ice—legally suspended, scientifically active, geopolitically latent.