Yes , you can transfer funds online from your PIS Bank Account to SB NRI (Non PIS Bank) Account and vice-versa.  

Transfer of amount from PIS to Savings  and vice versa can be done using internet banking facility. Under the transfer options provided by your bank, you will see an option to 'transfer funds to own account' and funds can be transferred by choosing the relevant account number. In case, it does not appear under list of accounts, it will either be a) a technical error or b) could be due to inactive /dormant status marked on your account. Hence, request you to contact your RM at bank for rectification of the same. The upper limit to transfer funds vary from bank to bank and scheme to scheme and this can also be verified with your bank account and also be upgraded with their assistance.