Yes, they can. The usual culprits are tomatoes and anything from the curcurbit family - melons, squash and cukes. If you don't mind pulling up a few volunteers, they usually aren't that much of a problem.

About the only thing you can do besides hot composting is to make a separate pile, or wet them and let them germinate, then bury the sprouts in the compost. But this doesn't work very well in winter.

Once it warms up in the spring, turn your pile. Some of the seeds will start to grow. Turn it again and you'll compost the sprouts. I get plants trying to grow near the top of my piles all the time. I hit them with the shovel and dig them under.

Uh, Yeah! I had store-bought canteloupe seeds dumped in the compost pile last year, and let them grow to 'see what happened'....

We had 14lb canteloupe grow from about 6lb melons.

Volunteer veggie plants are easy to pull although I usually leave them alone. Whether you pull it sooner or later, that's more good greens for future compost. I don't worry about this at all and hope many volunteer veggie plants show up wherever they want.