If you have multiple IP numbers already assigned to your machine, you can pass an argument to wget as follows:
wget --bind-address=364.293.991.800 http://address.you.are.secretly.visiting/
However, if you have multiple IP numbers assigned they will all be from the same pool of IPs provided by your ISP. I don't think this is what you mean - it sounds like you want to use random different addresses from different pools so that you can't be traced. You will need to use remote proxies for this, so something like Tor is the right suggestion.
You might want to clarify the question a bit, though: do you want to hide yourself from the websites you are accessing, or from your own ISP, or from someone who is potentially monitoring your web traffic?
If it's the websites, Tor or other proxying services are the answer. If it's your ISP, don't bother. And if you are not in China the latter is unlikely to be an issue, unless you're paranoid. I know some people who are worried about this kind of thing, but I think they're nuts.