New NEOs are found daily. Is there any evidence gravity is pulling them to a centralised location? With all of the new NEOs (near-earth objects) are they being pulled in or are they interacting with each other?
No, they are being discovered where they are in their (usually fairly stable) orbits. They are not discovered because they are arriving or going to some particular location. 

The one exception is long-periodic comets that have fallen in from the Oort cloud and now pass through the inner parts of the solar system, maybe to be captured by the gravity of Jupiter in a closer orbit. 

(Strictly speaking all these objects are all pulled towards a central location, the Sun, but because they already have a sideways velocity that just means an orbiting motion where they are constantly falling around it.)

NEOs are too light and small to interact much with each other - the gravitational influence between them is microscopic compared to the influence from the planets which is usually microscopic compared to the sun's influence. 

The reason we are seeing a lot more NEOs now is that new instruments are better and more searches are being conducted. LINEAR for example found  231,082 small Solar System bodies (of which 2,423 are NEOs) in the early 2000s and the Catalina Sky Survey has found 6,515 NEOs since 2009.