Should I let him come to the hospital???

We were never a couple. But we fooled around and I became pregnant. I chose to keep the baby. He chose to walk away. Then I found out that the baby has a condition and I'm essentially her life support right now because once she's born, there's nothing the doctors can do to prolong her life. Now I'm 38 weeks and we have been talking for the past month now (without my parents knowing since they hate his guts for abandoning their daughter after we got pregnant) and he wants to meet our daughter. He wants to come to the hospital. And I really don't know if it's a good idea. Again we never were a couple. There wasn't a relationship. He and I live 3 hours apart. It's bad enough that I got myself pregnant before marriage in my parents eyes. They will FREAK if he were to show up at the hospital. And I don't mean give him the silent treatment or yell at him. My mom is a lawyer, my dad is a police officer. They will explode. I know them. And yeah it's easy to say oh it's your life you make the choice. But my parents will literally start WW3 in the labour and delivery ward. On top of which, they will never forgive me for letting a dead beat back into my life after everything we've been through and how supportive my parents have been when I had absolutely no one. It'd be a slap in the face. They bent over backwards for my sake and picked up my broken pieces. He was never there for any of it.