Yes, the 1962 Y body outside rear view mirror was an option. It is listed as option R-1 for $4.51. For the 1963 Y bodies the outside rear view mirror is listed as D-32 for $4.51 or a remote controlled one D-33 for $11.78.
My original new purchase of a 1962 F-85 came without the rear view mirror and I bought one from the dealership and installed myself. For some strange reason I have kept the instructions, hole drill pattern and box since 1962! I have often found 1962 Y body cars with a different style rear view mirror installed. The owners must have added an aftermarket mirror themselves.