I would check
Home | Charge Up New Jersey
As of now they don’t show that the Model Y is part of the rebate program.
It says
Pursuant to P.L.2019, c.362,
https://www.njleg.state.nj.us/2018/Bills/PL19/362_.PDF an eligible vehicle for the Charge Up New Jersey program is defined as:
• A new light-duty plug-in electric vehicle;
• With a final MSRP* below $55,000;
• Purchased or leased in the State of New Jersey on or after January 17, 2020; and
• Registered in New Jersey.
* The MSRP cap of $55,000 refers to the final MSRP of the vehicle, which is set by the manufacturer, and is intended to encompass the value of the vehicle itself, in full. The manufacturer’s MSRP typically includes the costs associated with the trim level of the vehicle with all color options, wheel upgrades, drive train or battery upgrades, and other packages, such as entertainment system upgrades. Costs not generally included in the MSRP are: destination or delivery charges, sales and use taxes, additional maintenance or repair packages purchased from the dealership or showroom, documentation fees, registration fees, or add-ons which relate to the maintenance or operation of the vehicle, such as electric vehiclechargingpackages,floormats,firstaidkits,cargonets,etc. TheBoardreservestherighttoseek all available legal remedies if manufacturers adopt separate MSRPs for New Jersey that differ from the MSRP associated with the same car in other states or otherwise attempt to circumvent the statutory language.