(2-part post):
Universities work with both 'official' and 'unofficial' points scores.
Each candidate is initially allocated a certain number of UCAS points according to the 'official', unified system. This definitely doesn't award any points for passing a driving test:
http://www.ucas.com/candq/tariff/index.html
Some universities (or individual departments within universities) then add on 'unofficial' points to take into account a candidate's positive attributes which aren't reflected by examination results. (e.g. a candidate for a place on a course in Dramatic Arts might have points added because of their involvement with their local amateur theatre company. Other candidates might have points added because of their gap year experiences). This is a perfectly fair and sensible way of filtering the thousands of applications which universities have to look at but, because it's not unified, different universities (or different departments) will award more, or fewer points, than others.
It's possible that some institutions might award points to candidates who hold a driving licence but this would definitely be part of the 'unofficial' system rather than being sanctioned by UCAS.