How to login-redirect users to their profile page on specific days only?
You could do it simply by rules module (no extra module required):


Create a new rule.
Select event - user has logged in
Could add in a condition, check for a role for eg. This step is optional, and can be ignored if not required.
Select an action - Page redirect, and add the url /user to the destination.
Make sure you enable the rule.
Test, test, and test ;-)


If you want to schedule this view to run on a particular day you could check on Scheduling rules. There is also a very good video from nodeone about the same.