No, we are not at the point where renewables would support us 24/7; not yet.
However, several studies which have modeled this in detail have shown we CAN reach this point within 20 years. See, for example, Can renewables provide baseload power?Can renewables provide caseload power? for a good overview with many good links to more details.
Here’s a sample bit:
“Modeling has also shown that it’s relatively inexpensive to increase the reliability of the total wind output to a level equivalent to a coal-fired power station by adding a few low-cost peak-load gas turbines that are opearated infrequently, to fill in the gaps when the wind farm production is low (Diesendorf 2010). Additionally, in many regions, peak wind (see Figure 4 below) and solar production match up well with peak electricity demand.”
Those “peaker plants” could be run on renewable biofuel or replaced by energy storage systems.
