hello welcome to the site
your car DOES not have a timing belt.
this is a chain driven motor.
the dealership is trying to take you for a ride
Honda does not have a set schedule to replace this.
at the 110k service as this will get a valve adjustment and the chain tension can be checked.
they don't break they do stretch over time.
the main cause for these wearing out fast is the lack of oil service and the engine level getting low.
just make sure to check the oil level at gas fill ups.
yes this is correct.
just make sure to check the oil on every fill up.
all this regular maintenance info is in your owners manual.