Unfortunately, no. Any dividend you may receive counts towards your tax-free personal allowance (if you are aged under 65, you can have income of up to £6,475 in the year ending on 5 April 2011) and comes with a 10% dividend credit attached. This 10% dividend credit counts towards any tax you may have to pay if you have to pay tax, but if you don't have to pay tax you cannot claim it back.

If you want more information on dividends and how they are taxed you can find this here.