Can I add Account columns to the Tasks list view?

Can I add Account columns to the Tasks list view?

I have a list view for a set of Tasks. Each Task is associated with an Account.

I want to be able to sort the list of tasks by a field on the Account (e.g. an estimated value field, a size of company field, etc.).

I can only add columns to the Task view which are on the Task. Is it possible to add column headings for the associated Account - in the dropdown shown in my screenshot?