To make an espresso drink at home, you will need an espresso machine, ground espresso beans, and water. Sugar is an optional condiment. The beans are ground and put into the appropriate compartment in the machine, and hot steam is pushed through the beans, creating hot espresso liquid.
If you don't have an espresso machine at home, brew a pot of coffee using double the amount of coffee grounds as usual. Experiment using various additives to the coffee grounds such as cream, vanilla, caramel or cinnamon. Make steamed or foamed milk in a pan by heating milk to just below boiling. Mix coffee and milk in equal amounts.
You can, but you'll need an espresso machine. They're available pretty much wherever kitchen appliances are sold. Cappuccino machines can also make espresso.
To make espresso coffee, the first thing you need to do is buy an espresso machine. To be honest, the process of making espresso isn't cannot be easily told - follow directions from the machine.