Yes, but the 13 is very small, blink and you miss it, and blurry. You barely even see for for half a second before he swipes the phone, so that was probably just the date they filmed that scene. There had already been phone dates in Daredevil S1 that didn't line up either.
Based on the wiki, the days of the week match that day as well. Personally, I'd have the first five episodes as April, then 6-13 following the timeline based on the phone date. I'd either ignore the What If...? date - I know that it's weird bit it's not impossible - or I'd place The Punisher during Avengers: Infinity War. I imagine that Agents of S.H.I.E.L.D. episodes would be irritating like that, but it's an option. Up to you what you want to do.
Maybe something like:
April
The Punisher 2x01-2x05
May
Ant-Man and the Wasp
Agents of S.H.I.E.L.D. 5x14-5x18
The Punisher 2x06-2x13
Agents of S.H.I.E.L.D. 5x19-5x22
Avengers: Infinity War
I have no idea how many days pass in Agents of S.H.I.E.L.D. S5 to be honest.
Edit: The wiki would estimate 5x14-5x18 to be set between May 3-7 if 5x19-5x22 were May 17-18. As a result, I guess it would be prior to The Punisher 2x06-2x13 events?
By the way, following the Appendix point of divergence from Earth (just to support a few placements):
Earth-82111 - Diverged in 1943 during Project Rebirth.
Earth-21818 - Diverged in 1988 when the Ravagers abducted T'Challa.
Earth-51825 - Diverged in ???? when Hope joined S.H.I.E.L.D. Set in 2010 rather than 2011.
Earth-91233 - Diverged in 2016 when Strange and Christine remained a couple.
Earth-89521 - Diverged in 2018 when Janet unleashed a Quantum Virus.
Earth-32938 - Diverged in 2008 when Killmonger saved Tony from being captured.
Earth-72124 - Diverged in 965 when Odin returned Loki to Laufey.
Earth-29929 - Diverged in 2014, Ego is alive. Ultron uploaded himself into a vibranium body.
The Appendix says these, so if you put any stock into it then apparently Fury's Big Week is 2010 like the wiki but Iron Man is 2008 like this site.
Edit: Are we sure that Avengers: Infinity War is two weeks after Ant-Man and the Wasp? I think it's possible, even likely, that in Earth-89521, they took longer to rescue Janet, which is why she was infected with the Quantum Virus. We know she wasn't in the main reality during that film, so unless it was very sudden near the end, why not assume that the beginning of the Zombie episode is way after when Ant-Man and the Wasp takes place and they never rescued Janet during that film, and two weeks from the point in the Zombie timeline is when Infinity War would take place. That's what the wiki assumes.
