It's possible to have a solar battery without solar panels, but it'll mean you're still relying on – and paying for – electricity from the national grid. But you could pair it with a time-of-use tariff that offers cheaper electricity at certain times of day, which you could use to charge your battery and use when the grid costs more.
However, it may take a while to break even on the cost of the battery. See our Economy 7 and EV tariffs guides for more info on time-of-use tariffs.
Alternatively, you could have a domestic wind turbine installed in your garden, and use a battery to store the energy its generates.