Sure.
But a patient can always refuse to go to specific hospital and go somewhere else instead. At least in every system I've ever been involved in.
Similar to the OP, I work BLS in Massachusetts in and around the Boston area. I know my company has a protocol system for where you can transport someone to, and what you need to do or document if you deviate from that. Any hospital within 20 minutes is acceptable, if it is appropriate. And I can tell you that in the Boston area almost
any hospital is within 20 minutes unless it is going from south of the city to north or west.
If the desired hospital is further than 20 minutes away, the patient must have one of a few reasons listed to need to go there. One of those reasons can be that the hospital has the patients information and doctors familiar with them (in other words, their preferred hospital) and you must call medical control. So there is no situation in which you cannot transport someone to their preferred hospital unless they need some form of care it can't provide that another facility can, you just have to call medical control. I don't know about all the companies in the area, but from what I've been told by others who work there at least two of the other large ones have the same policy.
I don't know the particulars of the case the OP posted, but I find it hard to believe they could have wanted to go to a hospital
that much further away. That being said, because of all the hospitals in the region it can make you feel uneasy to transport past what can easily be several facilities to go to a preferred one when so many private companies stress CYA.
Still the first and often most important BLS skill is customer service, and in this case the crew performed poorly from the description. Patients will sometimes want to go somewhere other than the nearest facility, and almost all of the time it is not a problem. The few times it has been an issue, it has been easy to diffuse by simply and calmly explaining to them why I believe hospital X is a more appropriate choice than hospital Y, not just saying "My protocols". Think of how that sounds to someone hearing it, that is their loved one you are caring for and OEMS protocols or company policies are simply not an excuse they are going to take for an answer. I haven't had it happen but if that didn't work then there is always medical control, and if medical control agrees with the patient then wonderful, I've absolved myself and are deferring to a higher medical authority. If not, just the title doctor usually makes people on the phone a lot more amenable. That is what my protocols say.