No, there is not.
This is a long shot, but you might be confusing Karl Urban who plays Eomer (in the Peter Jackson movies) with Keith Urban who is not in those movies.
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In the movie The Lord of the Rings, the character Arwen is played by the actress Liv Tyler.
Legolas is a fictional character in J.R.R. Tolkien's The Lord of the Rings. He is not a real persona.
J.R.R. Tolkien really had a very imaginative mind He created his own world in Lord of the Rings. The relationships between the characters comes from his imagination. Tolkien gets in depth with every character. He describes who each character is and who they are related to.
Note: The Lord of the Rings is a single book. It is not a trilogy and not a series. It was merely published in three parts/volumes, which are named: The Fellowship of the Ring, The Two Towers, The Return of the King.
The first ever Lord of the Rings movie was The Lord of the Rings (1978), but of the trilogy starting in 2001, the first movie was called The Lord of the Rings: The Fellowship of the Ring.