LightBurn only works with Galvo lasers* that have fixed-position scanheads, so unless you had a highly customized setup, to move it would require moving the entire tower that holds it.
You can manually move a workpiece underneath the scanhead, but you will need to divide the graphic you wish to mark onto the workpiece into sections beforehand, and aligning the separate pieces could be a challenge. Cut Shapes would help in dividing your design.
One feature that is on our development roadmap is the addition of Split Marking - that works with a moveable X/Y table, and would automatically split your design into parts, and move a table beneath the scanhead to mark the separate parts on the workpiece.
*Specifically, LightBurn works only with Galvo lasers with EZCad2 or EZCad-lite control boards (and, soon, BSL control boards).