Yes, but Clipper Creek makes a certified J1772 unit and kit to change over. I don't think that Tesla would support that. I'm sure it would work as the signaling is the same.
CS-100 is $2195, Comes with a mounting pedestal, and holster to retain J1772 head when not used.
HPWC is $1200. Cord and J1772 is ~$425 Plus several hours to retrofit, No mounting pedestal or holster to hold J1772 head.
If you decide to retrofit, I will buy your Tesla 2 connector from the HPWC!