FC United tried blocking their game with then League 1 side Chesterfield from being moved to a Monday evening a couple of years back. It seems like teams have no choice
“The FA has responded this morning to inform us that they insist on the game being moved according to rule 2 and 8.13 in the FA Cup competition rules and therefore we have no option but to hold the match on the Monday evening at 7.45pm. We are deeply disappointed by the FA’s stance and have made them aware of this."
https://www.theguardian.com/football...up-kick-off-tv