No, not yet. The current plan is for it to be included in the Windows 7 Release Candidate later this year:

Windows 7 Beta already includes a pre-release candidate version of Internet Explorer 8 that is optimized for that release. Windows 7 enables unique features and functionality in Internet Explorer 8 including Windows Touch and Jump Lists which require additional product tests to ensure we are providing the best Windows experience for our customers. We will continue to update the version of Internet Explorer 8 running on Windows 7 as the development cycles of Windows 7 progress and plan to include the final version of Internet Explorer 8 in the release candidate version of Windows 7 later this year. For the latest information on Windows 7, visit the Windows 7 site. [This quote from the Internet Explorer 8 site.]

Image by Peter Kaminski via Flickr

An update for Internet Explorer was released yesterday that corrects a few IE crashes & extension issues on Windows 7, but the word from the horse’s mouth is: No, this is not IE8 Release Candidate 1 for Windows 7.

This update does not contain other changes introduced between the Windows 7 Beta and Internet Explorer 8 Release Candidate 1 [via http://blogs.msdn.com/ie/]

The standards compliance & performance improvements in IE8 Release Candidate 1, which I’ve heard are substantial, are still not yet available for Windows 7 users in the general public. You’ll have to keep limping along with Windows 7 Beta’s variation on IE8 Beta 2 until Windows 7’s own release candidate arrives.

The nitty-gritty details [via http://support.microsoft.com/kb/962921]

• When Internet Explorer 8 is installed with Adobe Flash Player 10, Internet Explorer may become unresponsive.
• You experience a Print dialog box that is unusable when you try to print an Adobe PDF document.
• After a crash, Internet Explorer 8 becomes unresponsive, and you must restart the computer to resolve the problem.
• Internet Explorer 8 may crash when you visit some Web sites. (I thought you said this was going to be nitty-gritty!)
• Internet Explorer 8 may crash when you resize the browser window.
• Internet Explorer 8 does not seem to remember information that was stored in cookies on the computer.
• Popular third-party extensions cause crashes in Internet Explorer 8.
• Previously blocked third-party extensions are no longer blocked after you upgrade to Internet Explorer 8.