The mass of single neutron stars (NSs) can be measured using astrometric microlensing events. In such events, the center-of-light motion of a star lensed by a NS will deviate from the expected non-lensed motion and this deviation can be used to measure the mass of the NS. I search for future conjunctions between pulsars, with measured proper motion, and stars in the GAIA-DR2 catalog. I identified one candidate event of a star that will possibly be lensed by a pulsar during the next ten years in which the expected light deflection of the background star will deviate from the non-lensed motion by more than 50 µas. Given the position and proper motion of PSR J0846 − 3533, it will possibly pass ∼ 0.2 ′′ from a 19.0 G magnitude background star in 2022.9. Further assuming a 1.4 M ⊙ NS, the expected maximum deviation of the background star images from the uniform-rate plus parallax motion will be 91 µas. This pulsar position has a relatively large uncertainty and therefore additional observations are required in order to verify this event. I briefly discuss the opposite case, in which a pulsar is being lensed by a star. Such events can be used to measure the stellar mass via pulsar timing measurements. I do not find good candidates for such events with predicted variations in the pulsar period derivative (Ṗ ), divided by 1 s, exceeding 10 −20 s −1 . Since only about 10% of the known pulsars have measured proper motions, there is potential for an increase in the number of predicted pulsar lensing events.