If you are spuring a socket, no problem, Nothing can be plugged in greater than 13amps. Assuming a ring main, ring circuit from the board and you wire in 2.5 or above...
But you cannot (or should not) spur off for a 20amp switch or similar, the spur must be a socket or a switch fuse.
Outbuildings are notorious for a 'spur' but some use a 20amp dp switch rather than a switch fuse, thus giving a max of 32amps from origin and still use 2.5 feed.
I have in the past done this but use 6mm, ie use ring main supply breaker at origin, sometimes you need to box clever when on on a budget, I know not ideal but costs sometimes means the job is yours, or not if you insist on a new board. As far as I'm aware there is nothing to stop you doing this, except diiferent size cable should not be used on a breaker/fuse.
However, a small run of cable not more than 300mm to an isolator (attached adjacent the board, wired in 2.5 then outbound in 6mm is ok) as I say not ideal but it is acceptable