Starfleet officers often perform tasks that we would called programming. Most often its engineers doing so (a term we use for programmers now!) B'elanna Torres

Starfleet officers often perform tasks that we would called programming. Most often its engineers doing so (a term we use for programmers now!) B'elanna Torres reprograms a Cardassian ship's computer. The Doctor is a holographic program coded by a Starfleet researcher. Multiple ship's crew across shows and seasons code their own holodeck 'programs'. Chief O'Brien makes computer subsystems to house a sentient computer program. Spock often dealt with computers and analysed them in ways akin to software analysis, including breaking a program by feeding it paradoxical information. Star Trek may not call anyone a programmer by name, but clearly the science and engineering officers are proficient programmers to varying degrees.