Yes, you should absolutely continue treatment for any personal injuries that led to or are part of a lawsuit. It’s not only important for your health but also for your case: You don’t want to give the mistaken impression that your injuries were less serious or unimportant to you.
If you’re worried about going to an in-person doctor’s appointment, try telemedicine instead. Medical professionals have increasingly been using video conferencing technology to treat patients remotely, even guiding physical therapy exercises.