Yes. A thousand times yes.
Don't even think of it in terms of bug tracking but as ticket tracking.
Being able to see all your tasks in tickets has a huge advantage. You can keep a history of a task in one place. You know who worked on it and when. You can be as detailed as saying what was completed on what day for a task.
For bug tracking, you can place all your bugs in one place and keep track of what ones have been completed and what ones are still in progress.
It just helps you manage things so much better.