No, but you can go without. PS4 installs games super quickly so if you delete one then feel like playing it again you're waiting 2 minutes tops.
There's only 2 races: White and 'Political Agenda'
2 Genders: Male and 'Political Agenda'
2 Hairstyles for female characters: Long and 'Political Agenda'
2 Sexualities: Straight and 'Political Agenda'