That is the 34" ultrawide with 3440x1440 resolution! Yes it works with a display port cable.
The specs on everymac.com mention the max resolution for the HDMI and Mini Display Port are 1920x1200 and 2560x1200 respectively.
But I stumbled across a redditor's post, showcasing their setup - Mac Mini 2012 with a 34" ultradewide. I didn't think this was possible, but they sent me a screenshot with proof. Now I'm currently use my Mac Mini alongside an ultrawide and it's amazing! (This is coming from dual 22" monitors)