Is there a spell checker for Google Chrome that can automatically fix certain spelling errors?
Just like MS office has an auto correct feature, is there anything similar for Google's Chrome?
Currently there is no built-in support for autocorrect in Google Chrome. There is an open issue on the Chromium source code, issue 7624 to be precise, that wants to add support for autocorrect. But this is not functional yet.
This leaves extensions as your only other option.
The two extensions related to autocorrect are Textbox.io and ezAutoCorrect for GMail. Textbox.io works on Tumblr and Gmail. ezAutoCorrect works on Gmail. If you're looking for auto correct for these sites, then congratulations! Otherwise, it appears you are out of luck for now.