Yup, applications are accepted throughout the year... Which means you can send in resume anytime you want. Below is the direct link to the site. Sadly you can't apply for the post online, so you'll have to send it through the almighty e-mail way. Snail mails are not encouraged and dropping your application personally at the HQ or any branches is a definite no-no.

P.S. Make sure to list down which department that you prefer to be placed into in your application

http://ww2.publicbank.com.my/hr/Management%20Trainees.html