Yes. In ecology, an insectivore is an organism that feeds chiefly on insects and similar small creatures, so insectivores are specialized carnivores. Carnivores get their energy from animal matter; insectivores are the subset whose prey is mainly insects and related invertebrates.
That dietary meaning is separate from the old mammal order Insectivora (shrews, moles, hedgehogs, and relatives), which taxonomists have largely abandoned. Frogs, many bats and birds, spiders, anteaters, and some plants all count as insectivores in the ecological sense.