Final answer:
No, the greater palatine nerve block does not provide effective anesthesia for maxillary posterior teeth as it primarily innervates the hard palate and adjacent gingival tissue but not the teeth themselves.
Step-by-step explanation:
The greater palatine nerve block is a technique used in dental procedures to provide anesthesia. However, the greater palatine nerve primarily provides sensory innervation to the hard palate and the palatal gingival tissue of the maxillary molar area. It generally does not provide effective anesthesia for the teeth themselves. For anesthesia of the maxillary posterior teeth, a maxillary nerve block, such as the posterior superior alveolar nerve block, would typically be used to anesthetize the maxillary molars (with the exception of the mesiobuccal root of the first molar, which may require additional anesthesia such as a middle superior alveolar nerve block).