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Not really sadly. Garden electrics all need signing off these days.
If you were to use armoured cable, which you should, then you score around the cable with a hacksaw and the wire (armour) can be broken off quite neatly. The terminations are quite pricey. Don't even think about doing it with conduit but also don't do it if you don't feel comfortable breaking the law.
Airhead-
Ok - thanks for this. I'll live with an extension for now, and get an electrician in when we have some work done in a couple of months.
You sound like you know what you're talking about. Given a socket in the garden (in a waterproof box), is it possible to run a cable off that to the shed and then have a little fuse box inside the shed on the end of that cable. The alternative would be I guess to run a cable from the main fuse box to the shed, but that would be much trickier to route.
christianSpaceman
It'll be about 15m long. No idea on voltage...
The heater / humidifier will only be there on a thermostat to keep the place above the dew point so hopefully not on for long periods.
I was planning on it being not much more than a glorified extension cord from an outside socket that's already in place (and wired to circuit breakers on the main fusebox). Is it reasonable to do this?