That's a "were kittens to grow on trees ..." kind of an argument; yes, the EU has trade barriers - so does the US, so does any super-state. Wherever you have democracies with farmers in, the farming lobby grows strong, and trade barriers are the easiest concession to make to them.

But given that the EU has trade barriers, it's remarkably clear which side of the barriers Jan Czech wants to be on; and, if you're to argue for the noisome evil of the EU in all things, it's hard to explain away why they're letting the Eastern European nations in to their exclusionist super-state so quickly.