Kanban is most often used for tracking inventory, so you can technically use it to track your tasks with it. It kinda gives you a big picture view. And one of the reasons why Kanban is effective in the inventory process is because it provides you a visual signal to replenish you inventory.
As a process for tracking work, it is lacking for a number of reasons. There is too much information on the board at any one time. It is too open, meaning, you can create as many columns as you need, which leads to unnecessary complexity.
Finally, the Kanban system works well for moving physical items (completed items) from one station to next. It is not used for changing states of items. We use it to change state on incomplete tasks (i.e from Blocked to Todo to Inprogress), which not what Kanban is for.