Does performing a grapple count as taking the Attack action?

@JeremyECrawford Does performing a grapple count as taking the Attack action?

— John Cook (@metalknuckle) June 15, 2017

There are many ways to grapple (see the roper for an example). One of them is part of the Attack action (see "Grappling," PH, 195). #DnD https://t.co/bMQYEBRGbR

— Jeremy Crawford (@JeremyECrawford) June 15, 2017