Yes, Shiva is considered a vegetarian god in the high tradition defined by Brahmins. This is based on the beliefs and teachings found in the Skanda Purana, an important Hindu scripture. According to the Skanda Purana, sects that offered meat to Shiva as a prayer ritual, such as the Kaula Kapalikas and the Kalamukhas, were declared heretical.
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It is important to note that different sects and traditions within Hinduism may have varying beliefs and practices regarding vegetarianism and the worship of Shiva. Some sects or groups may offer meat to Shiva as part of their rituals, but in the high tradition followed by Brahmins, Shiva is regarded as a vegetarian deity.