I have quilted every one of the 100 some odd quilts that I have made on my own home sewing machine. Some on my old Pfaff and some on my newer Bernina with the 7" throat, or whatever they are. I have made at least 12 queen size.
It can be done.
I have never quilted in sections and put together.
I have done a lot of diagonal quilting where I have rolled it but have also "nested" the quilt and worked on a small area at a time.