Yes, you can open a savings bank account online even if you do not have a PAN card. You would be required to submit Form 60 in lieu of your PAN card details.

In the lack of a PAN card, you must submit a soft copy of another Photo Identification Proof, for example, an Aadhaar card, DL, Voter ID or Passport. (AnyOne)

While before, the need for a PAN card was mandatory to open a bank account, it is no longer so. So yes, you can now open a bank account without a PAN card too!

Now Getting New Pan Card easy