Sow away. When I grew lots of poppies I would sow them every two weeks into July for maximum bloom time. For me they tended to germinate better in cooler weather.

SCG

Being that I'm in Hampton Roads area, not all that far south of you, mine are in full flower right now. They are a cool season annual & as such, require they be sown in early autumn, or late winter, depending on the weather...

I also might add, that the previous post, appears to be from someone in zone 5 & I take it, growing them in Canada. Where summer there, is absolutely nothing like our hot steamy ones in mid-Atlantic region ... Therefore, as soon as they germinated in the heat we experience,( if they even did so) they would simply quickly die from it.
I usually sow them about 7 to 10 days prior to a full moon, in late September, up to about December & later again, (the next year) in late January if mild enough, or February, up to start of March & no later.
Otherwise, just be patient & wait until late September, at the soonest. (or earliest chance, to be successful.)

While I will agree that they germinate better in the cooler weather don't discount how warm our summers are. Our typical daytime temp in July is about 90F and not uncommon to be 100F, however we don't get the humidity you have. I remember a time when I was guiding fly fishing a couple of guys from Houston thought they would come to Canada to get out of the heat. It was 103F in Houston and 107F here lol.

I would sow them and see what happens. What do you have to lose? I did not sow poppies this year as I am having lots of sprouts from last years sowing :)

Good luck and get back to us on how they did for you.

SCG