Cancel CC and re-apply for new deal?

Can you cancel a credit card if you have zero balance and re-apply to the same company to get a new 0% deal?

I have a Virgin and Tesco card with zero balances but they are not offering a balance transfer deal. I have an outstanding amount on a Barclaycard which is now charging me 16.5% interest.

Could i cancel the Virgin card and re-apply for one of their current offers?

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