Can I hook up to a house from a 30A plug to a 15A circuit

only other appliances on that circuit is a very small coffee pot and a small night light. As for the heater, Im assuming this, I know its a no no to assume with electricity, but as per the manual this heater is supposed to only use max wattage on the highest setting, It most likely uses 1500W on start up, but I usually power down all my other electronics while it kicks on, 90% of the time the heater is on alone.