It can theoretically be repurposed, but hydrogen is a much smaller molecule than methane and thus leaks in existing methane installations. Given that it is also much more dangerous when it leaks (it explodes much more easily than methane), that means reworking all the infrastructure around the storage site, which ain't free.
Also, producing hydrogen from electricity requires lots of investments in terms of conversion units, and the economics is already dubious even when they run 100% of the time, so using it just for absorbing excess production a fraction of the year really isn't economical. In addition, what are you going to do with the hydrogen? Burns too hot for existing gas turbines so you'd need new ones. Fuel cells? That's expensive too.
There's a reason why everyone is betting on batteries instead of hydrogen, the economics of hydrogen is just too difficult.
And you know what? Even if you want to go full hydrogen, Nuclear + hydrogen is also more efficient than Wind + hydrogen since the hydrogen production units are going to be used at capacity more often, because wind is intermittent.