Welcome from Ontario, Canada. Yes you can hand sew squares of red fabric together and then sew on borders to make your quilt top. If hand sewing quilts was good enough for our ancestors, you can hand piece and quilt your quilt by hand. You might like to view the many quilt tops done by Jenny Doan for the Missouri Star Quilt co. on youtube. She uses a machine but it will help you to see the process of making a quilt top.