YESSSSSSS I tried to move 3 plants in August.
Queen Alexandra came out of the ground but left a bit of root.
Its back in the place I didnt want it, same with 2 Beauty of Livermore's. The plant was growing around a root and came out in pieces. I just moved what I had. That ha taken nicely as well as QA. but there are new plants comming up in the old space.
I used to think these plants were so fussy. No-Way.
Of course poppies here are good for a while but peter out when the real heat hits. I have had really good luck with annual ones. I think my problem with the perennial ones that I have ws in the past has been space for them to grow. Too crowded where I put them last year, and probably didn't get enough water. It was super hot here last summer. Temps over 100 weren't unusual as the season trudged on.
OP's are an early summer plant here. They are big and can reach 36 inches in diameter.
Their normal blooming season ends here late May and early June, by July heat thay are going dorment.
By August the leaves die off natuerlly and they can be moved then. In Late September or about the plant begins to put up its winter crown. These leaves remaine all winter, green and neat. In April the plant puts on the spring base and stems and blooms.
They do need room and I use compost on them now and then.