Yes, in my city there is a trauma 1, a few trauma 3s, and multiple hospitals who have no ER at all. T1 is downtown, surrounded by homeless encampments, and is perpetually broke. By city charter T1 cannot file for bankruptcy protection and cannot turn away anyone seeking emergency treatment. T3 and outpatient hospitals are in rich suburbs, no homeless camps, and the parking lot is full of luxury cars. They also cannot do most emergency services and will send you to T1.
The overnight stay in the T1 is $10k for a grimey room while the T3s are closer to $3k-5k before insurance. I've volunteered at both types and it is night and day difference in the staff and the patients.