Haw. Rev. Stat. § 666-7: Jurisdiction; joinder.

In any action for summary possession begun under this chapter, the plaintiff may join claims for rent, lodging, board, profits, damages, and waste, where these arise out of and refer to the land or premises, irrespective of the amount claimed.

In any such action, whether the ground or cause is nonpayment of rent or otherwise, the plaintiff may join in the action a prayer for accrued rent due, if any, and also for rent, profits, and damages up to the time of judgment, if such is rendered in the plaintiff's favor, without prejudice to such action or ground for summary possession as may be set forth in the complaint.