Circumbinary planets (CBPs) are exoplanets that orbit completely around a pair of stars. CBPs provide a unique perspective on planet formation and evolution, but the current sample of transiting circumbinary planets is too small to draw conclusions on the population as a whole. Key questions include the distribution of orbital distances compared to the stability limit as well as the coplanarity of circumbinary systems. We searched for transiting circumbinary planets in the catalog of eclipsing binaries from the K2 mission. We found two candidate single-transit events, including one that might show asymmetry in the durations of ingress and egress that could be produced by the acceleration of the star during the transit. We use a simplified photodynamical model that simulates the planet during the transit and constrains its motion. Furthermore, we use eclipse timing variations caused by the apsidal precession of the binary to constrain the mass and orbit of this planet, although a full orbital solution is not possible. Our results suggest there is a possibility to discover and constrain more CBPs by searching in shorter-baseline photometric data from K2 or TESS, which observe more stars than Kepler but for much shorter durations.