No. The official TLD – i.e. “Top Level Domain”, is .uk. It differs from the normal ISO 3166 two-character country code, GB, even though most other countries have an identical TLD and ISO two-character code. The TLD .gb is merely reserved to deter shenanigans.
.uk is also the UK's though. The country code is explicitly reserved by the UK, and it exists in DNS because they grandfathered in some old system's domains.