If they are not on the card you could have saved them in some other area, your email account for example. As to where exactly, you need to figure that out by thinking back on what you setup on the old phone. It may come back in after you start signing into your accounts.
If you had them saved to the phone storage instead of the SIM card or in your other accounts, you can't get them back unless you go back to the original phone and write them down or move the account info into another area.