The chart you posted shows a total of just over 20k deaths in all of New York state between March 1st and April 25th, while the link I posted shows 27k deaths in NYC alone between March 11th and April 25th.
Your chart also shows about 4k non-coronavirus deaths, again across the whole state for that period, while the NYC-only stats show more than 10k "Deaths not known to be confirmed or probable COVID-19" in less than that amount of time.
Now repeat with double the population to account for the rest of the state (with lower coronavirus incidence) and another 10 days (about 20% of the time period in question) that had the normal incidence of non-coronavirus deaths.
So, no, nothing about that chart matches up to reality.