Probably. Many of the taller ones are winter growers.
Please be accurate, they are not Crocus. Naked ladies is one colloquial name. Autumn crocus are different things.
All we do is lightly roast them and store in an airtight jar. I eat an ounce of them every day to help with my cholesterol control.
Usual way is to take rooted pieces off.
They do sucker, if you are lucky.. Wish mine would.
Is it perhaps an Olearia macrodonta?
The biggest problem with beds in the glasshouse is removing and replacing the soil in them which you really need to do every few years or risk a build up of pathogens which reduce the cropping.
It certainly does look like Geum, probably urbanum, which is an terrible seed weed.
Not C, purpurescens either. Leaves are wrong. That is a fairly standard C. persicum. Kept in the right conditions it will flower for months. Not hardy though so once temps drop below 5c it is going to struggle.