But I don't think the trading a/c name and bank a/c name here will be the same.

Let's say your name is Tan Boon Huat. Tan is your surname or last name. Boon Huat is your first name. In the online form, they ask you for "First Name" and "Last Name" so you type Tan as your last name and Boon Huat as your first name. Your name will appear as Boon Huat Tan. However, your local bank account shows that your name is Tan Boon Huat.

Since the order of the first name and last name differs, would there be a problem when it comes to the broker processing the withdrawal of funds?