You can't open two individual savings account in a bank. But an additional account can be opened jointly with another family member. there's no limitation for that. u can have an individual sb account / another account jointly with wife / another account with daughter etc
Best way is to open a digibank account by DBS bank n send through it. online account opening, can be done in 5 mins.
zero fees, same day credit and best conversion rate since it's a foreign bank