No, the Supreme Court is absolutely not supposed to block this, and that's core to the design of the US system. People really misunderstand how the system functions, sadly, so they don't know who to talk to when things don't work right.
SCOTUS has no authority to block a case like that. It's left up to the states specifically to prevent unelected justices from having such power.
So many media outlets are getting this story wrong, and the headline here misses the mark too. SCOTUS blocked a lower court that was misbehaving. It didn't allow Alabama; it blocked the Northern District.
Yes, AP is misinforming and needs to be called out.