No, Friday 5X is simultaenously earned with the Red Hot Festival. Depends on which merchant.

E.g. the missus bought $2,500 Mannings over lunch. Her 6X is Home and she's using a VS card. RC earned:

Basic 1X: 10RC
Extra Home 5X: 50RC
Friday 5X: 50RC
VS 3X: 30RC
Designated merchant 8%: 200RC
Mannings extra 4%: 100RC

= 440RC = 6,600 mile = $0.38/mile

She plans to do this for next six Fridays from today. She'll hit maximums, so her total haul is:

Basic 1X: 70RC
Extra Home 5X: 350RC
Friday 5X: 180RC (maximum)
VS 3X: 210RC
Designated merchant 8%: 1,400RC
Mannings extra 4%: 600RC (maximum)

= 2,810RC = 42,150 or $0.415/mile

Take away anything not applicable to you e.g. I'm not Home 5X so I don't get extra 5X nor Friday 5X.