Yes, in accordance with IAF CertSearch Principles (Annex 1 of IAFDB PL1:2022)
 
– item 3, “The IAF database will need to include accurate data on each CB accredited by each IAF MLA signatory AB under main scope ISO/IEC 17021-1, and the scope(s) of accreditation, for the purpose of confirming accredited certifications eligible to be included in the IAF database.”
– item 6, “ABs responsible to provide and maintain correct accreditation data.”.
 
IAF CertSearch does have an accreditation status for suspension.  An AB can log into IAF CertSearch and change the status of a certification body’s accreditation to “suspended”.
 
If assistance is needed in performing this activity, please contact the database administrator at https://www.iafcertsearch.org/contact.