statistically no, but its possible to get a random group of poppyseeds that are extra potent. its why for example, South Korea bans it (as they dont even want the chance for them to get collected)
The poppy seeds don't contain the opiate, the surrounding latex contains it (visual: pomegranate seeds, and the inedible flesh you free it from).
Some of that opiate might get on the seeds, but its mixed into such quantities with other poppy seeds that the potency level is diluted to virtually nothing.
It doesn't really need to be processed much. Heated plant parts for tea and the sap is ready to smoke after drying. Both of these processes do count as processing but I would not say it counts as "process[ing] the shit out of it. "
You don't need to purify to drink it just extract it. It's hard to smoke enough opium to OD (which I guess counts as concentration through evaporation but isn't purified to seperate alkoloids) to death without other drugs but it is pretty easy to over do it with just tea. Like a previous poster said tea extractions will have wildly varying potencies so they can kill even those with tolerance.
People die almost every year overdosing on tea made from poppy seeds.
The potency of the seeds vary so much that you can buy two jars and drinking a tea made from one will give you a decent buzz and the other will kill you if you drink half.
If an animal were to eat a seed pod, it could definitely die.