Can landlord rescind a rental lease after 1 day of signing the lease in NJ? is there 3 days review period?

There is no 3-day rescission period on a lease. Once the lease is executed by both the landlord and tenant, it is a valid contract enforceable by either party. Should either party fail to honor the terms of the contract, they can be held liable for the damages suffered by the other party as a result of the breach of contract.

I tend agree with Ms. Rothbort with one caveat. Is the lease prepared by the owner, his attorney, or a real estate agent/broker? In certain circumstances ther may be such a provision in the latter case,

Without reading the lease, it is difficult to answer that question. A quick review of the lease would allow a much more specific and concrete answer to your question.