Some teams (incl. mine) do preallocated new grad SWE hiring into NYC, although generally NYC is off limits unless you’re an industry hire. You need to apply through the right pipeline though to be considered for the preallocation (if you’re open to that). DM me if you want more specifics.
For industry hires, assuming we're currently hiring for your experience level / profile, the bar is pretty consistent across Facebook engineering offices. Do you have a more precise question?
My concern is that there are less spots for entry level hires in NYC office versus the other offices
Ah, that will be very difficult. Entry level needs are filled almost entirely by stronger than average returning interns these days. Unless there's something exceptional about you that distinguishes you over candidates with a highly successful FB internship it is unlikely. (Internal transfers for similarly junior engineers to NYC are similarly difficult.)