The short answer to this is: no. Or a longer answer: Probably not. At least, there was no national civil system for issuing these certificates prior to 1837. Sometimes you will find baptismal certificates. Sometimes, if you are lucky, the person you are researching will have lived in an area with a wonderful parish clerk who wrote birthdates down in the margins of his baptism register, deathdates down in the margins of his burial register.
But if you are looking for a birth certificate for someone born in 1687 - you won't find one. (Or at least are highly unlikely to find a birthdate - see 'wonderful parish clerk' above.) So don't immediately (and scornfully) remove a 'date of birth' or a 'date of death' from a WikiTree field - first, look carefully and see if it has either a) been marked as 'before', or b) been commented on in the bio below.