I am a male in my 30's with no health conditions or an essential job living in NJ, which I believe was one of the last states by a decent margin to open up vaccinations to all people 18+. I received my first shot on 4/24. If other states were a month ahead of NJ I think they could have had 2 shots and 2 weeks before the draft on 4/29
Alaska was the first state in the country to open up vaccines to everyone and they did so on March 10th
Other states didn't start until March 29th, and only very few of them did
March 29
Some States Open Vaccinations to All Adults
Kansas, Louisiana, North Dakota, Ohio, Oklahoma and Texas announce they are expanding vaccine eligibility to all adults, while Minnesota, Indiana, and South Carolina are expected to follow suit later in the week. Nearly all 50 states have pledged to expand eligibility to all adults by May 1.
So it's possible, but fairly unlikely that many of the nfl players were fully vaccinated by the time of the nfl draft
Unless they had special hookups. Which is entirely possible especially ZW
Otherwise you'd have to have lived in one of the first states in the country that offered the vaccine, be one of the first to get it. And even then you'd barely make it