I once made a sweater single handed in six hours from fleece to garment, it can be done.
I used a very open fleece which didn't need carding and spun it using a New Zealand long draw technique, treadling furiously. Once plied to about the same thickness as an Arran yarn, I knitted it up on the knitting machine and washed the whole thing afterwards. I had to hoover the knitting machine afterwards too but it was a fairly clean fleece, to be fair.
NZ long draw is gratifyingly fast, all you do is pull the fleece into long open strips and spin from it. You have to be bold as the drafting area is as long as your arm can make it.