No they can't - scooters can only be driven with a full car licence or cat. A (or - soon to be cat AM too).
People on this board are happy to have their right to a happy jaunt continually threatened by the Polish filth.
I've never even been looked at by the police, yet alone questioned when riding a bike. Then again, I'm not swerving all over the road after a few beers.
As I said before - you have rights, but only when those rights don't infringe on others. You have no right to ride a bike drunk, even in the UK where a prison sentence of at least a month is possible.