This article is from the FAQ, by with numerous contributions by others.
No. Only Canadian citizens qualify.
Note that not all J1 visa holders are subject to the two-year home
residency (HRR) requirement. Examine your IAP-66 form (bottom left
corner) and the visa stamp in your passport. You are generally
subject to the HRR if you at any time accepted money from either your
home government or (particularly) the US government or if you are on a
special skills list (medical doctors in particular). The home
residency requirement aims to protect the home government and the
goals of the exchange agreement.
If you changed schools, funding agencies, etc., you may have a
checkmark that the requirement does not apply on your current visa
stamp or IAP-66. However, "once subject to the HRR, always subject",
i.e., thus, this does not help.