A smaller operation with limited objectives might be possible, if the limeys don't find out about it through their intelligence services. A suicide mission by a few crack batallions might be able to sneak in and seize some vital installations and destroy some vital equiptment before the British can muster a sufficient force to clean them up. The odds of pulling off such an operation are pretty low, but they might be able to destroy a significant amount of the Royal Navy's support structure. It's hard to imagine them inflicting any damage that couldn't be repaired before the war in the west got started the next spring, but it might make Weserubung work out a bit better for the Kriegsmarine, that is, if they haven't thrown away their best paratroopers etc. on a suicide mission against Britain.
The obvious problem to this is political. If the UK is at war with Germany, there's absolutely no hope of a sucessful attack, this means it has to happen before Poland, but before the attack on Poland, it was uncertain whether or not the British would declare war, and how enthusiastic they'd be about prosecuting it. A direct surprise attack would ruin any possibility of a peaceful settlement with Britian, which was something Hitler was quite keen on early in the war.
Had Hitler ordered such an attack, he would have almost certainly met serious resistance within the military. Prior to the victory over France, he was not in such a secure political position that he could order something so major without military support.