The process e þ e − → pK 0 Sn K − þ c:c: and its intermediate processes are studied for the first time, using data samples collected with the BESIII detector at BEPCII at center-of-mass energies of 3.773, 4.008, 4.226, 4.258, 4.358, 4.416, and 4.600 GeV, with a total integrated luminosity of 7.4 fb −1. The Born cross section of e þ e − → pK 0 Sn K − þ c:c: is measured at each center-of-mass energy, but no significant resonant structure in the measured cross-section line shape between 3.773 and 4.600 GeV is observed. No evident structure is detected in the pK − , nK 0 S , pK 0 S , nK þ , pn, or K 0 S K − invariant mass distributions except for Λð1520Þ. The Born cross sections of e þ e − → Λð1520ÞnK 0 S þ c:c: and e þ e − → Λð1520ÞpK þ þ c:c: are measured, and the 90% confidence level upper limits on the Born cross sections of e þ e − → Λð1520ÞΛð1520Þ are determined at the seven center-of-mass energies. There is an evident difference in line shape and magnitude of the measured cross sections between e þ e − → Λð1520Þð→ pK − ÞnK 0 S and e þ e − → pK −Λ ð1520Þð→nK 0 S Þ.