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Can it be done, Offshore company, bank in Cyprus and Moneybookers account?

Yes that can be done, it is not a Mastercard Credit Card but a Debit Card as far as I know. Actually many report that they use a Seychelles or Cyprus company with Moneybookers, while some say that MB will shut down the account with a Seychelles corp. best would be to contact MB directly.
 
Please check Moneybookers website, it looks like everyone holding an account with Moneybookers can apply for their Master Card which is a debit card and not a credit card!
 
Indeed it is possible, as we have heard from various clients they are doing fine with a Cyprus company and Cyprus bank account in regards to Moneybookers.