Hello.
Till now as per the notification given by NTA , ICAR exam is going to be conduct on  1 June 2020, and according to the latest notification given by NTA on 2:00 p.m. 15 may 2020, now you can fill the application form for the exam until 31st May 2020, but yet there is not any update about the extension of exam dates, but it depends upon the condition whether these date will  extend or not, for now you can just prepare for this if it will be extending then it will be beneficial for you because till then you have already been prepared yourself that will give you more time to revise your syllabus.
Best of luck.