You can do it but you need to be setup correctly for it (see links below) - To do it 'natively' so to speek might be difficult - I know you can export from Project into Excel and csv files, maybe you could import these into Outlook, I'd try it for you but I haven't got Project I'm afraid.
But you might want to have a rummage around in
here and
here check out the Explore the Microsoft Office Project Add-in for Outlook link.