I'm recommending against this on the grounds of safety
The channel is on of the busiest shipping areas on the planet,they move at up to 30/kph and cannot stop too easily or for that matter turn too well.Pedalos are too small to see,and cannot travel very fast,so the chances of being run down and drowned are high
You would need to alert all the authorities,have a support crew and support boat, [at least one of them possibly two].
Chances are it would mean you will be pedaling in the dark as it cannot move very fast and negotiating on the water in the dark in a very small unlit boat, is incredibly dangerous