Not at all. It just requires enough smart equipment to cope with whatever the variation in supply is. Even on an entirely renewable grid there will still be a lot of base load available, from non-intermittent sources like hydro and from the minimum output of variable sources like wind. If you have enough turbines the wind is always blowing somewhere, and the overall output of the entire fleet never drops below some predictable level.
There is a lot of industrial equipment and processes that requires a constant source of power. Moreover, even if some can cope with the variability, the economics often fail when capital intensive facilities are sitting idle 2/3rds of the time. The wind is also calm for weeks at a time over large regions, requiring either 100% backup or storage; the idea that we can satisfy our needs by shuffling renewable energy around that isn't available through a grid that doesn't exist is pure fantasy.
Also note that he isn't say "no storage", just no grid level storage. House pack batteries and EVs, even small local pumped storage will be available.
I'm not saying this is a desirable state of affairs, merely possible. In practice it would make a lot of sense to have grid level storage.
How many people are likely to use their hideously expensive vehicle battery in this way when it severely shortens its life? It also suffers the same problem as "smart equipment"; we can't afford to toss out and replace every last piece of technology.
The only realistic way of curbing our CO2 and other pollution is to produce carbon neutral fuels for existing engines, and clean energy for our existing grid. Only nuclear is capable of providing the reliable and affordable energy necessary to cleanly power modern civilization. Otherwise we will be lucky to keep the lights on at night while the remainder of our industry departs for China. More likely though, we will continue leveling mountains for coal as the true believers refuse to let go of their fantasy.