Lou, if you have watched Jinny do her hand sewing you know that it is definitely possible. However, it is also possible to machine piece with accuracy, if you know good techniques.
Sue includes wonderful directions in all of her TQS patterns, and my tutorials offer some alternative techniques, however Sue and I are both suggesting machine piecing.
Since you are new to quilting, I suggest that you try both hand and machine methods and decide which one you enjoy doing, and which one gives you the most accurate piecing.
Like the 2009 TQS BOM, this one also requires attention to accuracy. Sue stressed last year the importance of accurate measuring, cutting, sewing and pressing. It's important this year too.
If your blocks don't come out to the size that Sue states in her directions, you need to find out WHY they are not right, and correct it before you continue on. Some distortion can be dealt with, but it sure is easier if it's done the correct size from the get-go.
If you have't seen them yet, you might want to go over some of my tutorials from last year's BOM as well as this year's tutes. These are always available from my TQS profile which you can access them any time you see my photo, or just do a search for "Margo".
If nothing else, please check out the "TEST" on my Webshots album. You can access it here:
http://good-times.webshots.com/album/569415726bHNKHF