No reply from the professor after the follow up email
My answer will be general -- not specific to the particular institution you want to apply to.


You could contact the department and ask, "I sent my CV to Prof. X, as suggested at the application instructions page (provide link), on [date], but have not heard back yet.  May I go ahead and submit my application, or do I need to wait for a response from the professor?"
Note that four days is not very long.  Depending on the application deadline, you may want to give this a bit more patience.
You have submitted your CV as instructed; unless the instructions say you must hear back from the professor before submitting your application, I suppose you could go ahead and submit your application.