Serious Answer: Yes. Most if not all states consider a medical "emergency aid" to be exigent circumstances, and the police are allowed to enter and make a protective sweep.
Typically there's a two-fold test. First, at the time of entry, there must be an objectively reasonable basis for the officers to believe that an emergency exists. Second, after the entry, the conduct of the officers must be reasonable under the circumstances; in other words, the search must not exceed the scope of the emergency.
This Monday, an ambulance was dispatched to my house due to a medical emergency with my wife. A police officer came in with the paramedics. Since my wife was in the family room, they could have searched for weapons in that room or the kitchen, but not, say, the office where I'm writing this now. Nor could have they opened any sealed containers.