is there any date validation that accept DOB only greater then 13

Date Validation rule accepts a valid strtotime string

'date_of_birth' =>'required|date|before:13 years ago'

https://laravel.com/docs/5.6/validation#rule-before

Find todays date and subtract 13 years. Check that the supplied date is after_or_equal to that value. So if you had a field called "birth_date", it would be something like:

$thirteenYearsAgo = Carbon::now()->subYears(13)->toDateString();

$request->validate([
    'birth_date' => "required|date|after_or_equal:{$thirteenYearsAgo}"
]);

https://laravel.com/docs/5.6/validation#rule-after-or-equal