Poppies are a summer growing annual, not a tropical that grows all year. Try again in the spring. Al

Poppies also seriously resent any root disturbance; in my experience you can transplant but only when very tiny (cotyledon stage or so) and then you must be careful not to disturb roots.

My poppies have always done best via direct sowing in late winter/early spring.

In my experience, DO NOT EVER plant those "bio degradable"
peat pots or jiffy pots. Very nice starter pots, but they stunt the poor plants. Had some tomatoes like this. One was 2-3 feet bigger than its partner. I dug up the small one, and it was instantly apparent that the peat pot had stunted it.

My recommendation, (IF YOU CAN)cut the fabric off the peat moss, and leave the moss intact. find a place in the yard or a suitable pot, and repot. Dont disturb the seedlings roots.