Yes, you can play Okey completely free online, including in your browser at Game Finale.

There is no charge to join a table, and you receive virtual chips to play with plus a daily bonus. Optional extras such as chip packs exist, but they are entirely optional and use virtual currency only. The chips have no cash value, so nothing you buy or win can be turned into real money. This makes it a relaxed way to enjoy the game any time without spending anything at all.