Lavon,
Meaning they need to go a period of time without getting any mail from
the group due to a problem they are having.
Re-reading the subject of your message, you might have been asking whether the member can change that setting themselves. Yes they can.
Any member can go to the Subscription page, near the top of the links in the left column, and choose their own Email Delivery option. See also:
/static/help#suboptionsShal
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Help:
/static/helpMore Help:
/g/GroupManagersForum/wikiEven More Help: Search button at the top of Messages list