Yes, we can say “I am being hungry.”
Back to Mustang15 and “in case of”:
It is a subordinating conjunction functioning in compound sentences, and as such it is meant to join clauses: it introduces the subordinate clause. There are coordinating conjunctions in compound sentences, e.g. and, but, or,… and subordinating conjunctions in complex sentences, e.g. in case of, because, when, (as) if… Mind you, “in case of” does not mean “if.”
What can be quite perplexing, for some reason or other “in case of” is often confused with “in the case of”: “Case” in “in the case of” is a regular nominal and requires its “the.”
Sloppy minds similarly confuse “on top of” (which is legitimate for “in addition to,” because no top is implicated in that sense), and “on the top of,” in which “top” is again a nominal and needs its “the” to
“present the owner of the top” mentioned. “On the top of” is functionally equivalent to the preposition “atop”: e.g., on the top of the building = atop the building.