Yes. The Victorian era lasted from 1837 to 1901 (the reign of Queen Victoria), and saw a number of advancements including the invention of the electric car (1832), Cooke and Wheatstone telegraph (1837), the telephone (1876), electric phonograph (1877), the electric light (1879), moving picture cameras (1890), and radio (1896). Throughout the century, hundreds of patents were issued for all manner of electrical devices, from improved batteries and electric motors to (often) crude electro-medical devices and electric tattoo machines (1891).

It was a period noted for the rise of inventors that would become famous like Thomas Edison, Alexander Graham Bell, Guglielmo Marconi, Nikola Tesla, and Wilhelm Roentgen (who discovered X-rays in 1895), and for the proliferation of the infrastructure that would become contemporary power grids, as well as considerable refinement of electrical theory thanks to physicists like James Clerk Maxwell.

It was still a bit of a "wild west" period (perhaps appropriately, since it overlapped with the actual Wild West period in the United States) in that many inventors were experimenting with electricity but that the theory and understanding of how things worked was not always there - so along with many genuine advances, you've got people making vast claims about the powers of electricity and magnetism according to terminology today we know as wrong or pseudoscientific, like "red and green currents."

It was also seldom the case that one single inventor was behind any particular invention. Alexander Graham Bell and Elisha Gray, for instance, actually both patented the telephone on the same day (and there's evidence that Bell actually copied from Gray's patent), but they were both narrowing in on the same kind of electromechanical action at about the same time - and they weren't the only ones.

But yes, electrical devices certainly existed in the Victorian era, especially in the last half of the 19th century, when the great electrification of industrialized nations began and spread.