No, corporations can't solve it because that's not what they do. Corporations don't solve problems, they make money, usually by creating problems. Governments can solve these problems, by forcing corporations to act in particular ways. And people control the governments by voting. So if you want to do something, get out and vote for whatever candidates and parties have strong policies on climate change action. If people say "oh but it will hurt the economy", tell them to get fucked. You know what will hurt the economy more? Massive, planet-wide ecological system failure. Failure to address climate change due to "the economy" is like not fixing a hole in your boat because it will divert people from rowing, therefore slowing the boat down a little. Newsflash, the boat sinking will slow it down a whole lot more.

So vote, encourage others to vote, and get out and support and campaign for candidates that support real, meaningful change in policy. That's what people can do to help, and it does work if enough do it. Saying that individuals can't do anything is a very successful tactic used by those that just want to keep the status quo by making people feel helpless.