In some organizations there may be a set of issues for every user to which they log work regularly. This may be a user-based set of issues, or these issues may be specific to the whole organization. In either case you can easily log work these set of issues using WorklogPRO - Timesheets for Jira.
Create an issue label, for example “Favorite_Issue” and create an issue filter that filters issues having this label, for example “My Favorite Issues”.
On the “Log Work” dialog you have access to Filters section and the dialog will remember you selected filter, and it will default to that filter every time you have opened it.