I live in an apt complex built in the 60s. In my HVAC closet, I found chunks, including one like this, in the picture.
Does this look like asbestos fiber under the paper?
Asbestos fibers are typically too small to see, with the naked eye. As mentioned in the comments, there are free services available, to help you find out.
When dealing with unknown materials, that you think might be dangerous; assume that they are, and leave them alone. Do not spray, do not break, do not touch; call a professional.
Our local health department accepts samples of suspected asbestos for testing. They do it for free. I would look around where you live for similar service.
In the meantime you could spray the affected area with spray paint. Giving everything a good heavy coat of paint will lock and seal the fibres and keep them from getting airborne