Yes. Anyone who allows someone to drive must make sure that person has the correct licence and qualifications to do so.

Employers have a Duty of Care under the Health and Safety at Work Act (1974) (2) that require them to ensure, as far as is reasonably practicable, the health and safety of all employees while at work.
Other vehicle operators, such as garages providing courtesy cars or hire cars companies have a legal obligation under the Road Traffic Act (1988)  section 87 (2) to ensure that the drivers driving their vehicles are licensed to drive

In addition to the above, the DVLA has announced that from 8th June 2015, the paper counterpart will be removed, making visual checks no longer possible.
Non-compliance can invalidate any insurance and put you at risk of possible third party liability, penalty fines or criminal conviction. 

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