Yes, you can. Technically, if you log out from your current account, you can set up a new Apple ID account on the same device. The content won't be shared between two Apple IDs unless you set up a family access. Bear in mind that you have to be physically in a country to use their store. Even if your account was set up for, say, Sweden, you wouldn't be able to download content from Swedish AppStore if you're currently in the US.