What specific PSU and what other parts?
In general, no, the typical system in which one had those
installed would need a higher capacity PSU unless it just
happened to have a rail/amperage distribution that came near
what the system needs. IOW, most systems don't use more
than 300W but use more amperage from one rail than another
so the wattage of the PSU simply accounts for the capacity
enough on every rail to have the worst amperage draw on any
of them, covered.