No.
The minimum a complete sentence needs is a subject, a verb and an object. The subject is the person or thing doing the action, the verb is the action being carried out, and the object is the thing being acted upon by the subject.
For example: Bob walked his dog. Bob is the subject, walked is the verb, and dog is the object.
‘Because of the unbearable blood’ isn’t a complete sentence because there’s no subject-verb-object. It doesn’t make sense on its own, it needs something before or after it. For example, Sally fainted because of the unbearable blood or Because of the unbearable blood, Sally fainted.