Yes, but not with the camera because the date/time stamp is now embedded into the image and the camera can only do that as the picture is taken.
You can only remove that stamp by editing each photo with image-editing software like Photoshop or Photoshop Elements.
Open the photo and use the "clone" tool to obliterate the date/time stamp.
Then optionally use the "text" tool to put the correct date on the image, then save it.
Be aware, however, that re-saving a .jpg image in the same format will slightly degrade it as some colour data is discarded during the compression/saving process.
But provided you choose the least amount of compression when saving it, it won't be noticeable to the human eye.