While I would never charge the Prime or my model Y with a 120v cable, I've wondered this myself. All Teslas come with a J1772 to Tesla converter. So... maybe? If it didn't throw a charging fault in the M3 or on the Toyota cable, the time it would take to charge from 20% to 80% would be measured in days. I would hope you are asking this question for the purposes of using the Toyota cable as a home backup option instead of a primary home charging solution. The Tesla Wall Charger, which used to be around $550, is now only $350. For a decent and wifi connected home L2 charging option it is quite a deal. You will need a dedicated 240v and up to 50A power source for it to be installed. There's also the Mobile Charging bundle ($230), which can be used with either a 120v outlet, or a 14-50 240v. Both connector cables now come with that, whereas the 14-50 cable used to be $45 separately. Hours are better than days. I'd highly suggest a 240v option.
I use the 240 wall outlet with an adapter on my 120 blue charger to make it charge at 240 lol so that’s why i was wondering.
The Tesla has the normal J1772 charge port in addition to the proprietary one. YES, you can charge withe the Prime EVSE, just not as fast as the Tesla one.
I'm not following. Are you implying that Teslas have two charge ports on their cars? If so, this is fundamentally wrong. Teslas have one charge port on their cars, which is the Tesla proprietary one, and nowhere can you plug in a J1772 directly. Tesla cars do come with an adaptor (J1772 to Tesla), which fits onto the end of a J1772 charging cable and which allows the J1772/adaptor combo to fit into the Tesla charging port. At L2 (240v) power, charging with either a J1772 handle with Tesla adaptor attached, or using the home L2 Tesla Wall Connector charger with the Tesla charging handle, the charging speeds would be approximately equal, generally @ 32A. At L1 (120v) power, the Prime factory cable with Tesla adaptor would charge just as slow as the Tesla Mobile Connector bundle with the included 5-15 plug. Maximum 12 amp with Prime cable, and 16 amp with Mobile Connector (on a 20 amp rated circuit).
What is a 120 Blue charger? I assume it is 120volt by its name? If you can safely up the voltage to 240, there shouldn't be a reason why you couldn't attach the Tesla adaptor to the end of the J1772 handle. At least you could try it. Find someone with a Tesla, and if they agree, maybe test it out? I'm guessing that you would be limiting charging to a maximum of 240v at 16 amps.
Times have changed. Tesla sells a J1772 charger now, which will work with a Prius Prime. It is overly expensive though. J1772 Wall Connector
To the OP: If you have a charger for your Prime that has a J1772 plug, then yes, you can use that with a Tesla as long as you get the J1772 adapter that Tesla sells. SAE J1772 Charging Adapter (tesla.com) You can also buy their wall connector if you want a more capable charger/EVSE. Our family has operated Tesla vehicles for over a decade, and I currently own a MINI (which I charge using a Tesla Wall Connector with a 3rd party adapter). If you are buying used, the J1772 adapter may come with the car. They were included in the purchase price until a year or so ago.