In most cases you need to have an insurable interest in the vehicle that you want to insure. In other words, you would be the owner or lien holder.
There are some insurance companies however that will allow you to purchase a policy even if you do not own the vehicle or have it registered in your name. One of our partner companies, Esurance, does this. You can get a car insurance quote here and request a quote from our web site by entering your New Jersey zip code and then some basic information.