Jenner was previously linked to rapper Young Jinsu. A source told the magazine last month the pair had been quietly dating for "at least a few months" and planned to go public with their relationship following Jenner's 18th birthday on November 3.
However, Jenner tweeted around the same time, "Enough with the rumors! I'm single, people."
While Jenner and Styles, 19, appeared to be a date this week, another source told People that wasn't the case and "they're just friends" as well.
Styles, who was discovered on the British version of The X Factor's seventh season in 2010, split from ex-girlfriend Taylor Swift in January after a two-month romance. Things reportedly ended badly for the couple, as Swift has since publicly dissed the singer on more than one occasion.
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