Can a Co. suspend you without verbal/written notice first after 13 yrs of employment?

What is the name of your state?Ca.

Trying to help a friend get answers:
~ 13 years of employment
~ Clean work record (not one incident)

Yes,
What are they getting suspended for and how would they know if there was no notice, tarrot cards?

Yes. A company can suspend you with or without notice after 13 days, 13 weeks, 13 years or 30 years. Nothing whatsoever in the law requires that they give you a verbal or written warning beforehand unless you have a CONTRACT (not a company handbook, a CONTRACT) that says otherwise.

Whether it is fair or not, or appropriate or not, depends on the specific situation. But it is legal.