Normal
Yep! I have seen many people with no immediate ties to the UK succeed in applications. Law firms value geographical diversity. Just be prepared to be asked the question of why law in the UK at an international firm, and not your home country. This question is often asked as law firms want to filter out candidates that are applying just on vibes but instead actually want to build a long-term career at these firms/ the country (considering the two-year TC is a development programme and an investment of a law firm into your professional development).