No, electric current cannot flow in a vacuum. Electric current is the flow of electric charge through a conducting medium, and in a vacuum, there are no free electrons or charged particles available to carry the electric charge. In a solid conductor, such as copper wire, electric current is carried by the movement of electrons. In a liquid conductor, like in an electrolyte solution, ions carry the electric charge.
In a vacuum, there are very few particles, and those present are generally not free to move and conduct electricity. This lack of mobile charged particles prevents the flow of electric current. This is one of the reasons why electrical systems in electronic devices, for example, need to be properly insulated to prevent electrical leaks when components are close together.
However, it's important to note that electromagnetic waves can travel through a vacuum. These waves do not require a medium to propagate and can transmit energy and information without the need for charged particles. Light is an example of an electromagnetic wave that can travel through the vacuum of space.