"Rom-com" is short for "romantic comedy," a genre of film or television that combines romance and humor. These stories typically follow a romantic relationship between the main characters, often involving misunderstandings, comedic situations, and ultimately a happy or satisfying resolution.
"Pom," on the other hand, can refer to a few different things depending on the context. In British slang, "pom" can be a colloquial term used to describe a British person, particularly when used by Australians—and it originated from the term "Pommy" or "Pommie." In other contexts, it might refer to "pom-pom," which can be a decorative ball of fluff or a cheerleading accessory or "pomegranate" as a shorthand.
If you meant something specific by "pom," please provide more context!