Yes. It is possible to do this.
Step 1: Create a Custom NSQL Query which provides the context of the Project that the query is running from. Documentation is at https://techdocs.broadcom.com/us/en/ca-enterprise-software/business-management/clarity-project-and-portfolio-management-ppm-on-premise/16-3-1/reference/clarity-ppm-studio-development/clarity-ppm-studio-nsql-queries.html . An example of such a usage can be found at Administration > Studio > Queries. Filter for Query ID as 'cop.invTimeReview'
Step 2: Create a Grid Portlet and use the query created above
Step 3: Create a new Tab in the Portlet Page being used to display Projects. Administration > Studio > Portlet Pages. Display 'Page Layout' attribute at Home > Projects to determine the Portlet Page in use
Step 4: Display the Portlet from Step 2 in this new Tab.