No! But that's the good news about bitcoin. Actually, you don't need a bank nor a bank account to own bitcoins. This is also why banks try not to support or even ban it. Nevertheless, if you use a bitcoin broker such as Bitstamp, Coinbase, Coinify, or Coinmama, you can connect your bank account to buy bitcoins. Most brokers do offer ACH bank transfers or SEPA for clients in Europe.