You could always Google the other 49 states
It's important to remember that all else being equal, Alleged Dad's rights trump OP's rights. There is no compelling need here; "I need to know" isn't going to wash. Mass. has made this explicitly clear when we're talking about an adult child suing for paternity.
Even if Alleged Dad was ordered to comply, what can they do to Alleged Dad if he refuses to comply? They cannot and will not strap him down to a gurney and force the issue. There won't be a warrant. He won't be fined.
In the usual paternity suit, the male can be held to be the father by default and enjoy all the rights and responsibilities that entails.
In this circumstance, what will it accomplish? He's not going to be owing or paying child support. He won't be forced to hand over medical records. It won't help the OP at all and the State has no dog in the fight either.