Short Answer: That depends on what you mean by correct a historical record!
Technically, you cannot "Correct" a 'Historical' record - it is what it is.
Whereas, IF, you are referring to a "Transcription Error" on an "Indexed" record; THEN, that is another matter ...
On some records, "Indexed" by 'FamilySearch', certain 'things' on those Records can be corrected, if they were transcribed incorrectly.
But, generally, such is not available for Records "Indexed" other than by 'FamilySearch'.
In the latter case, you would need to get onto the organisation that "Indexed" the Record, in the first instance.
I have done so on a number of occasions; and, had the "Indexes" corrected [eg. 'General Registry Office' (GRO) of 'England and Wales'; and, "FindMyPast.co.uk" (FindMyPast.com); and, the like].
That said ...
IF, the ERROR/MISTAKE in in the actual "Image" of the Record; THEN, that is something that CANNOT be "Changed"/"Corrected" - it is what it is.
In the latter case, just attach the "Source" and ADD a 'Rider' regarding the ERROR/MISTAKE, in the 'Title' of the "Source" and somewhere in the 'Citation' and "Reason Statement" (in "Family Tree" of 'FamilySearch").