First of all, there is no equivalent of an iPod among the Android phones. The most obvious reason being the fact that an iPod is not a phone in the first place: you can listen to music, play videos, games, and even call with some IM services, but it's not a phone. The equivalent of Android phones might be the iPhone, for example.
Going to your question, yes. You can connect to any Wi-fi, as long as you know the password, and download the applications. There is no hardware obstacle, if that's what you're thinking about.
I think you will need to associate a Gmail account, but that's the only requirement as far as I can remember.