Yes, there are ways, and how depends on what is causing it.
You should probably start with a dermatologist. Something like rosacea can cause the redness you always have, and can also contribute to the blushing/flushing.
There are a lot of other conditions that can cause this, though, and you really need to be evaluated by a doctor. Some things may be an inflammatory response, like rosacea, and others might be a neurological response. A doctor will be able to help you with this.