No, more involved than that. On a trike, you hold full up elevator from the start. Get the nosewheel off the ground, then relax the elevator slightly, keeping the nosewheel off the ground, but not lifting off quite yet. Let the plane speed up slightly, then pop the elevator again to get the mains off, followed by very quick down elevator to level off just above the ground, in "ground effect". You're not at flying speed yet, but you can do it in ground effect. Then you stay in ground effect until you accelerate up to normal lift off speed, and fly away.

On a tail dragger, there are less steps, but it's tricker because you basically horse it off the ground with the elevator really early, before you have flying speed. But then get the nose down quickly to stay in ground effect. You don't have the nosewheel to guide you. If you hold the up elevator too long, you get out of ground effect and get into a stall.