You certainly cannot make a citizens arrest for riding a bicycle on a pavement. You would put yourself in danger of arrest. The powers of citizens arrest are very limited. Generally (and very briefly) any person may arrest, without a warrant, anyone who is in the act of (or suspected of) committing an arrestable offence. Cyclists on footpaths may be guilty of trespass or nuisance but generally are not committing any other offence unless there are local byelaws in force.
Hey Button ..... was you drunk when you heard that ?
Cyclists don't have licences, and driving licences don't have a lot to do with cycling. Maybe I've failed to realise that your posting was a little bit of merriment to entertain the troops.