Yes, you can. Please go to the MFA Device Registration Page. After you click on the Enter a Passcode button, there will be a blue line at the bottom of the window. Within this blue line, click on the Text me new codes button, and you will be sent a new set of 10 passcodes, regardless of whether or not you used all of the previous 10 codes.

Please note that whenever you are sent a new set of codes, the previous set of codes can no longer be used.