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No. The context selection is lost once you switch to project view where you would need to be to view the list of projects in the sidebar.

The only way I know to get around this is to search for a specific context in project view and have the status filter set to flagged. This would give you a list of flagged tasks with the term from you search. In my experience this is unreliable as I sometimes have titles or notes which contain the same word I use as a context.

You can save this search configuration as a custom perspective if I works in you scenario.