Kind of. You can certainly apply too little thermal paste, but you can't actually apply too much in terms of how it'll affect thermal transfer. You can make a huge mess though, obviously. Covering the entire heatspreader is marginally better than the "pea" method though. The nonsense people used to spout about how there'd be "gaps" and "air bubbles" if you spread the paste have rather been dismissed by objective modern testing.One question though: plenty of thermal paste?
Less is more man, you only need enough to form a very thin film between the heat spreader and cooler pad.