Learn English – Word for application that is both sender and receiver

"Alaska & Hawaii" is short, accurate, and precise. It's 3 words, but only 15 characters (depending on how you choose to spell Hawaii/Hawai'i/Hawaiʻi.

In that case,'no'. :)

If you must use a single word (and I don't see why two words is bad here), I would just use facility. In the context of a medical applicaion, it would be just as clear as medical facility.