Yup, it's called a Form Validation Macro Rule
In Kentico 8+, go to Macro Rules in the sidebar, then Form Validation.
I would clone the "Date From" and adjust the condition from:
ToDateTime(Value) >= ToDateTime("{date}")
to:
ToDateTime(Value) >= DateTime.Now.AddDays(-3)
Don't forget to remove the "Parameters" from the list as well as you won't need it, unless you want to make the rule more dynamic and remove the "date" parameter and add a "days in the past" int parameters, then adjust the condition to:
ToDateTime(Value) >= DateTime.Now.AddDays(-{daysInPast})
Lastly, to apply this to your field, just go to your Page Type -> [the page object] -> Fields -> (Select Field) -> Advanced -> Validation Rules and add yours.