The short answer is no.
The only fish known to eat and target pufferfish are sharks (mainly tiger sharks). The little ones you are talking about would not be shark food. Sharks would be after the larger open water variety.
Sea snakes and turtles also eat them. But as bait themselves about the only thing you could target is tiger sharks. Nothing else eats puffer fish.
The little ones that are pesky and often take bait are usually only in very shallow water...What fish are you trying to catch?
itsaboat mate...Life is just a boat and then ya marry one !