In Nevada they have the "keep clear by three feet" law for cyclists, which they mentioned here a while ago.
You have to go around a cyclist leaving at least three feet clearance...
however, the rules do specifically say "where possible", leaving a good grey area where if there's simply not room for you to leave three feet clearance when passing safely, then you won't get into trouble for it.
I have a nasty feeling that if they brought in a "one meter" rule here, there would be NO "grey area"...you would find yourself booked for not leaving a meter, no matter the circumstances...