No. Assuming adequate PSU capacity, the system will pull as only as much power as it needs from the PSU.
It's like plugging in a lamp with a 100 watt light bulb. It will pull just what it needs from the 15 amp (1800 watt) or 20 amp (2400 watt) house circuit.
WHat are you building that you think you need a 1 kw PSU?