Of course you can. Remember to put the quilt on the frame like you should by sewing/basting the top and bottom together first and also stay stitch the sides. before you do the quilting. In LA quilting it is best to go from the outside in, as opposed to DSM quilting where it is best to go from the center out.
You might want to get red snappers and instead of sewing/basting down the sides as you go consider just turning the quilt after sewing/basting the top and bottom then do what is the new top and bottom [but was your sides before.]
I don't know where you are from but down here one of our dealers has a free HQ club monthly and it is really fun. We also have a LA guild which is supposed to be great [I haven't gone yet though.]