From SDM web interface is it possible to search for incident/change tickets that do not have any attachments
CA Service Desk Manager, all releases
OOTB, we don't have search filter for attachments at Incident/Request/Problem and Change Search page.
-> But by clicking on more filter in search you can write a query in "Additional Search Arguments" field to get the results.
Knowledge on SQL and Majic fields(SDM) is required to write the query.
NOTE: Writing SQL query falls out of support scope.