Is the double socket currently in the kitchen already a spur? If it is part of a ring final circuit (RFC) then that ring could be looped around another couple of sockets.
Kitchens normally need proper provision of power (professionally, not necessarily by Peter Piper...) as they are often the highest concentration of high power appliances, such as cookers, dishwashers, kettles, washing machines, etc. All heat stuff and that is power-hungry. So really it is something you should consider having done by a spark.
As already mentioned, if you have an over current protective device such as a 13A fuse then whatever you add beyond that can't overload the supply cable, as if it is already a spur it is probably on 2.5mm cable and that is often only able to carry 20A (or occasionally less, if in a hot region or thermally well-insulated) so by extending it carelessly you risk it overheating as (probably) the RFC feeding it is on a 32A breaker due to the provision of two cables to each point.