You cannot directly transfer money from your bank into the Bitcoin.com wallet because the wallet supports BTC & BCH only, not government currencies or other cryptocurrencies.
Depending on where you are located, you should be able to purchase either Bitcoin Core (BTC) or Bitcoin Cash (BCH) from CEX via buy.bitcoin.com or Simplex via purchase.bitcoin.com.
Before confirming your order please double-check that the address you are providing them is correct for the currency (BTC or BCH) you wish to purchase.
The services at buy.bitcoin.com and purchase.bitcoin.com are provided by a third-party. If you have not received your BTC or BCH from them, or have any other issues regarding that service, please submit a ticket.
For buy.bitcoin.com (CEX), please visit: https://support.cex.io/hc/en-us/requests/new
For purchase.bitcoin.com (Simplex), please visit: https://www.simplex.com/submit-a-ticket/
Please note that during times of high traffic, such as during large price fluctuations, your order with CEX and Simplex may take longer for them to fulfil. Unfortunately, there is nothing that Bitcoin.com can do about this, so please continue to be patient.