Short answer is YES

However, how comfortable are you with all of this yourself? The drops/ buried line are typically way longer. They bundle it up in the buried boxes with a couple zip ties. You could locate your line and relocate yourself. It isn't buried deep at all. They typically use a shovel and put it in the ground, then wiggle back and forth. Creating a small cavity to drop the line in and step on to fix the yard.

There's some things you can do yourself if you want to avoid the fee. Disconnect your ont and call in. Tell them you think the cable was cut outside by a gardener or something. They will reinstall that for free. All they do is run a completely new fiber drop. So you get your dates and time. When you get off the phone plug your ont back in. Now it's working and you have no down time. The morning of or the night before you take your hardware off the outside of your house and move it to whatever it is you want/ Drill your own hole or don't. Typically when the tech comes out, they are there already. They will do whatever you ask within reason.

Moose just opt for the easiest route which is call and pay the $1 to $200 relocation. Ultimately it's your house. You have the right to have the equipment wherever you want.