You don't have to submit a photo to take the SSAT at home but one will be taken of the test taker during check-in to ensure the test's integrity.
No, you will not have to submit a photo to take the SSAT at Home. However, a photo will be taken of the test taker during check-in and that photo may be referenced in the event an irregularity is detected. Note: If your student is requested to show ID, they should instead simply take another selfie.