Yes, because is not for the sake of friday.

If Arafah day falls on Friday can we fast Friday alone ? The intention is to fast the arafah day and not the Friday.

Fasting | October 2, 2014 5:28 pm
Previous

I missed two fasting during Ramadan due to acute illness. I paid fidya. Do I have to make up also?
Next

First 9 days f Dhul-Hijjah fastings should be consecutive or can we can keep one or two and end it with the arafah fasting?