Any outcome outside of any cognizant control is chance-based. Ergo, poker, which is based on drawing random cards with some expected probability (determined by card removal), has a chance aspect to it -- far moreso than chess (which has none), but about identical to that of any other card game, casino-based or otherwise.
Poker is, therefore, a game of random chance which allows you to use skill to manipulate the odds in your favor -- exactly like Blackjack, and for that matter exactly like gin rummy, bridge, and effing solitaire. To say there's NO luck aspect in poker any more than there is in chess is stupid, however. Donks cannot win chess matches against grandmasters; yet they're expected to win poker hands against regs at least 30% of the time and possibly as much as 45%, depending on format and dynamics.
Is poker a game of skill? Hell yes. Is it chess? Hell no; get that idea out of your head before you start crying because you got sucked out on over and over and over. I'm serious.