The honest answer: no, and here's the biology behind it
Ticks are arachnids, not insects — closer relatives of spiders and mites than of ants or beetles — and every part of their biology is built around one thing: finding an animal host and drawing blood. UNH Extension describes them plainly as 'obligate blood feeders,' meaning they require a host to survive and develop at every life stage. Nothing in that biology involves chewing wood, boring into a wall, gnawing wiring, or digesting fabric or paper. A tick has no equipment for any of it. This is one of the cleanest 'none' verdicts a pest can earn, and it's worth stating at full confidence rather than hedging it into a false middle ground.

