@kaley,
No, not really--". . . dotted with pin-sized knobs." modifies ". . . a tiny writing desk and its drawers." It does not modify "Another visitor . . ." Also, a dangling modifier, as i understand it, modifies a word or term not clearly stated. That is not the case here, either.
When you write "dotted with pin-sized knobs" to describe a modifier, in your third paragraph, you have made it into a singular item. So, one would write: "dotted with pin-sized knobs
modifies," rather than using "modify."