Absolutely. But be aware that Moneybookers (a web wallet) is far superior to using credit cards.
All credit card payments are made via secure servers. This is significantly safer than using a card in a store or restaurant. Payment by credit card is much safer than using bank transfers because if you are defrauded, you can complain to the card company and get compensation.
Credit card companies help their customers. The most accepted card is Visa, the next best being MasterCard. Most bookmakers only accept these two cards.
MasterCard has the advantage in that you can even earn bonuses! If you play on Sure Bets (bet arbs) and never lose, you get a lot of money to circulate between different bookies that have those great odds needed for this betting system. This gives you a bonus.