hmmmm ..... sounds dodgy,
your kitchen should really be a ring main as the power that is consumed there is probably the highest in the house due to fridges, freezers, washing machines etc.
the cable might catch fire due to it not being a ring circuit.
i'd say 'no' to your suggestion due...
are you saying take it from the kitchen ring main?? i.e plug sockets.
if so you can but......
it sounds like it could be a messy job going through the wall.... what if wall crumbles.... if it's an old house?
can't you get to the wiring by pulling floor boards up above light.
what...