Yes. An ice age, or more precisely, is a period over tens of millions of years where the planet is cold enough to produce continental and polar ice sheets and alpine glaciers. Since permanent ice sheets currently exist in Greenland and Antarctica, it qualifies the current age to be an ice age.
Within a long-term ice age, pulses of cold climate are known as “glacial periods” (colloquially known as “ice age”), and intermittent warm periods are called “interglacials”. Glaciologically, ice age implies the presence of extensive ice sheets in the northern and southern hemispheres. By this definition, the planet is still in the ice age that began 2.6 million years ago at the start of the Pleistocene epoch, because the Greenland, Arctic, and Antarctic ice sheets still exist.