Ah, sorry, I missed that you are already an EMT. If your long term plans include emergency management, a degree will definitely help (any degree). Emergency management is still a young profession, but the International Association of Emergency Managers recently implemented a change in their requirements for their Certified Emergency Manager (CEM) designation that requires applicants to have a four year degree (in any field). Getting that done now will be good and who knows, you may discover other opportunities while you're studying. In terms of emergency management education, much of it is at the master's or certificate level and can be done through distance education though there are some BA/BS programs. For a pretty comprehensive listing of programs, take a look
here.