No there isn't, but we don't need lithium for that. The lithium reserves are barely adequate to make all cars electric. They are not adequate for grid energy storage.
We need about 500 hours worth of storage (three weeks, not four months, since presumably in areas with real winter, power production is predominantly wind power, and presumably electric grids of tomorrow are strong to allow transferring electricity from windy areas to non-windy areas) to allow electricity usage during long large-area calm periods in winter when neither solar power nor wind power is available in big enough quantities. If average annual energy use per person is 10 MWh in a developed world of tomorrow, and world future population will reach 10 billion, then we need 100 PWh of energy per year. That's about 11000 gigawatts assuming constant energy use.
So 500 hours * 11000 gigawatts is 5.5 PWh. (Actually the real figure is slightly larger because 11000 gigawatts assumes constant energy use and the 11000 gigawatts should be adjusted for momentary higher-than-normal energy use, but in any case, the figure is below 10 PWh).
There is a paper in Nature Communications that shows we can store more than 5.5 PWh, in fact we can store 17.3 PWh, at reasonable cost using pumped hydroelectricity. So grid energy storage is possible.
However, what about lithium? A plug-in hybrid (10 kWh) requires about 1.6 kg of lithium. So to store 5.5 PWh, we need 880 billion kilograms or 880 megatonnes of lithium. Unfortunately, lithium reserves are between 17 and 21 megatonnes, and in 2020 resources were 80 megatonnes. Nowhere close to what is needed.
Even if the paper in the highly rated Nature Communications journal is wrong and we can't construct enough hydroelectric energy storage at a reasonable cost, then there's another possibility: it's possible to create hydrogen from water using electrolysis and burn that later to electricity in internal combustion engine or gas turbine power plants. That has a round-trip efficiency of about 37%, in contrast to 80% round-trip efficiency of pumped storage hydroelectricity.
Also, battery energy storage is so expensive that storing the 5.5 PWh in batteries is nowhere near competitive to storing it in pumped storage hydro or as hydrogen stored underground as compressed gas.
Only a fool would create electricity with 100% solar power, and then try to use 4-month long storage to allow using electricity in winter. The solution is not solar, it's wind. And only a fool would use batteries for long-term energy storage. For short-term use (charge at every day with solar, discharge at every night) batteries are ok.