Webster’s 1913 has no entry under this spelling.
Shades of meaning
Fernald has no entry of its own for given over; he lists it under addicted.
Where he writes about it:
A man may be accustomed to labor, attached to his profession, devoted to his religion, given to study or to gluttony (in the bad sense, given over, or given up, is a stronger and more hopeless expression, as is abandoned). — from addicted