Do Honda shops have special tools at their disposal to do valve adjustments?

Do Honda shops have special tools at their disposal to do valve adjustments?

They will have all the factory recommended tools, yes. That does not mean they know how to use them however. Once had a totally bad valve adjustment done at my Honda dealer some years back.

Its called a wrench in different types and sizes and filler gauges, and most auto shops have them too.

Yes but I would not call "Special" tools as they are a regular tools to the real technician tool box: