Manhattan's population density is already 17 times higher than the one in Berlin so no, I wouldn't suggest that.
Its unfair to compare Manhattan which apart from Central Park is nearly 100% urban to Berlin, which is significantly larger and includes many areas with widely distanced houses and forests.
[0] https://en.wikipedia.org/wiki/Mitte_(locality) [1] https://en.wikipedia.org/wiki/Neuk%C3%B6lln_(locality)