Should. We had naturalized Hollyhocks on the property I grew up on and there were always a few that germinated as soon as they hit the ground and some YEARS later(the house had been empty for at least 4 yrs and located in S Utah's high mt desert).
I'm half through fall planting perennials as well as testing out some Wallflowers for Spring blossoming. I've given up on Primroses and Sweet Violets though. The latter shouldn't be a problem because the native Violets are pretty much after grass the main verge veg;>!
Cheers,
Pat