No, AFAIU the Search Suggestion for Collections needs to be achieved at project level through custom implementation. No OOTB feature having this kind of support or close to this requirement.
You could use OmniSearch API to integrate the suggestions with OmniSearch result page.
https://helpx.adobe.com/experience-manager/6-3/sites/developing/using/reference-materials/javadoc/co...
Proposed steps:
1. Define endpoint which gets hit when entring fulltext at Assets collection page (see how it wokrs in case of Assets page)
2. It should trigger a sling component which call OmniSearchService.getSuggestion against fulltext passed
Make sure index used in collection search uses useInSuggest=true as per lucene documentation.
Jackrabbit Oak – Lucene Index
Thanks,
Ashutosh