Do people live on Neptune?
No. Of all the thick gases, far from the sun, reaches below -300 degrees Fahrenheit.
And some others.
Since the planet Neptune is a gas giant, it is not a hospitable place for growing food, and I greatly doubt that anyone will ever live there or grow food there, however, the moons of Neptune, which are still not easy places to live, are nonetheless much easier places to live than Neptune, and perhaps people will some day live there and grow food there. Although even that is unlikely.
If you mean the planet Neptune, there are no people there, as the only place off Earth we have been is the Moon. If and when people do get there, they will have to live in sealed environments, probably in orbit. There is no oxygen nor hard surface on Neptune and it's extremely cold. If you mean Neptune City, New Jersey, there are plenty of good places to eat:https://www.tripadvisor.co.uk/Restaurants-g46660-Neptune_City_New_Jersey.html