Yep. You can do that as songbird suggested; really a no-dig bed basically. If you can find enough material you could still continue with making a large compost pile separately for use in future vegie beds. There's no hard and fast rules - do what ever takes your fancy and seems logical in your situation. Unless it could cost me money if it fails, I tend to give anything a go. What's the worst that can happen? You learn something. I do a bit of everything - we have a conventional sort of compost pile...but half the time I forget to keep it moist enough or turn it or whatever, so it ends up being a cold compost pile which just takes a lot longer for everything to break down...cest la vie. Then I also do a thing at the end of the winter when I get the garden ready for new season; I pull weeds or any old spent plants and just make big piles right there and put a scrap of black plastic over it for a few weeks. Then I plant seedlings right into it when it's pretty much broken down. I also just mulch and improve the soil by repeatedly chopping and dropping in-situ... plants that self-seed again straight away or just keep rampaging...at my place that means Borage mostly but also Rocket and Warrigal Spinach and Lucerne. Then they rot away where they fall mulching and adding nutrient to the soil all the time. Good luck with your adventures in the garden. And remember, it doesn't have to be perfect, just have a go.