It's absolutely possible! Check out The Inbox Jaunt by Lori Kennedy
http://theinboxjaunt.com/quilt/free-...ing-tutorials/ , and The Free Motion Quilting Project by Leah Day
https://freemotionquilting.blogspot....5-designs.html. They both have hundreds of quilting designs that can be done on your domestic machine. Some are based on blocks, but many work as all-over designs.
One thing I have found is that large all-over designs can be hard to do on a domestic machine. For example, if I like a panto with 10" flowers in it, I might have better luck imitating it with 3" flowers on my domestic machine. Making the motifs smaller means I don't have to move my quilt around as much.
All-over patterns are fairly popular; a search for "free motion quilting" will likely bring up a lot of helpful resources for you. Good luck!