Yes, liberty is in the scrabble dictionary

...and is worth 13 points by itself if you played it.

Liberty Definition

noun

A breach or overstepping of propriety or social convention. Often used in the plural.
A period, usually short, during which a sailor is authorized to go ashore.
A right or immunity to engage in certain actions without control or interference: the liberties protected by the Bill of Rights.
A statement, attitude, or action not warranted by conditions or actualities: a historical novel that takes liberties with chronology.
An unwarranted risk; a chance: took foolish liberties on the ski slopes.

idiom

At liberty Not employed, occupied, or in use.
At liberty Not in confinement or under constraint; free.

geographical name

City Missouri of Kansas City 26,232.