No, Nvidia reccommend a 750w and above power supply for their 3000 series cards,
Edit: actually they reccomend a 650w for the 3070, and that will be at stock usage,
but you be better to buy a 750w for piece of mind if you want to buy the other brands and OC versions like msi,evga etc
and can maybe in future buy the 3080 and 3090