Yes. And, both are extremely dangerous and should be handled with gloves and a face mask so you don’t breathe them in.
I like this site’s comments which can be vetted and some have links:
"Fiber glass is not safe. A mask and gloves are recommended when handling, and cutting materials with fiberglass in it produces lots of dangerous particles.
Asbestos is most dangerous when it is friable, or easily crumbled by hand, releasing lots of particles. It also causes cancer somehow. Fiberglass probably causes cancer too.
Fiberglass fibers are typically 5-25 micrometers , while asbestos fibers can be 180A to 300A. A angstrom (A) is 1/10,000 th of a micrometer. Therefore an asbestos fiber is 166 to 1,390 times smaller than a glass fiber. I think this is why asbestos is so much worse. I am way out of my depth here, but I think the smaller fibers do way more damage per fiber than the larger ones. "
“fiberglass is not safe, especially if it is made out of exceedingly thin fibers. Inhalation of fine fiberglass dust will probably lead to silicosis and other unpleasant health effects.”