There is a EU-Task force on paper that's led by germany and the foundation of a combined army (also commanded by germany lol) was laid down a couple years ago.

It's, like everything EU, a house of cards built by economists and bureaucratic career politicians that will collapse under the slightest pressure.

But yes, on paper there is a way for the EU to mobilize the same way a cripple can spaz out of his wheelchair and piss himself