Do you mean you would buy multi-family houses with 1 BR apartments in it and would like to rent them out?
If so, you can definitely rent. It is your building and you can appropriate it anyway you like in accordance with the zoning of the house.
Perhaps your question is about finding out the feasibility of getting tenants in? Mostly in Hudson county, as long as the rent price and conditions are right, you should not have a problem populating a rental.
I guess I am not sure what the question is.
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The only restrictions I can think of that you may find when searching for an investment is a homeowners association which restricts the leasing of their property. This information can be found by calling the HOA in question.
You also may be interested in an article I wrote on researching a homeowners association. you can find that article by following the link below.