The 6-foot-4 senior wasn't seriously injured or issued any citation.
The driver of the other vehicle was charged with impaired driving DWI.
Robinson has started 12 games for the Tar Heels, averaging 12.1 points, 3.4 boards, 3.3 assists, and 1.3 steals per contest.
The Tar Heels are having arguably the worst season in the Roy Williams era and are in serious danger of missing the NCAA Tournament for the first time since the 2009-10 campaign.
North Carolina dropped to 1-4 in ACC play and 8-8 overall after a humiliating loss to Clemson on Saturday, which gave the Tigers their first win in Chapel Hill.
Williams recently called this year's squad the "least gifted" one he's coached during his 17-year tenure with the Tar Heels.
North Carolina returns to action on Saturday against Pittsburgh.