In terms of navigating with a map. Yes, I carry a Jeppesen plotter (specifically designed to be used in cockpit with Jeppesen charts) and a Jeppesen CR-2 circular slide rule. The method for using a ruler and pencil and whatnot to navigate about the place is beyond this discussion (i.e. - as a (presumably) licensed pilot, you shouldn't have to ask !)
Is that a CAA rule in the UK to carry such items?
If it was me:
ATC ask "Do you require vectors?", they get a cheery "No thanks."
ATC ask "Do you require routing via VORs?", they get a cheery "No thanks."
If it
were me, i would say YES please and go on with my coffee