The former Iowa State player has four years of eligibility remaining.
Jackson was released from his signing with Iowa State on December 10.
RIT goalie Jakub Krbecek blanked the Nittany Lions in his 44-save shutout performance.
Penn State has now lost at The Palestra two years in a row.
The Nittany Lions committed nine penalties and gave up three power play goals.
Dinkins played in every game for Penn State over the last two seasons.