Hi Dvoyk,
-Is this issue specific to Corel Draw? Are you able to install/uninstall other programs successfully?
This issue can occur if previous version of Corel Draw is not completely removed from your computer. I would suggest you to run the Fixit and check if it helps.
This tool is designed to fix un-installation/installation issues like, MSI registry issues, removes remnants of programs from your computer.
a) Click the below link and select Run Now button.
http://support.microsoft.com/mats/Program\_Install\_and\_Uninstall
b) After downloading and running for the first time
c) Select Run on small **** pop-up window and select Run on Internet Explorer-Security Warning Window.
d) Select Detect problems and let me select the files to apply.
e) Select Installing.
f) It will take 10- 15 minutes to finish.
g) Restart your computer and check if it fixes the issue.
The installation or un-installation process of a program can fail for several reasons. This article discusses the following issues (Click each issue for related resolution):• Windows Installer issues
• Installing or updating programs in Windows may not have completed successfully
• Uninstalling programs in Windows may not have completed successfully
I would suggest you to refer to the help article and check.
How to troubleshoot problems when you install or uninstall programs on a Windows-based computer
http://support.microsoft.com/kb/2438651#reso3
If issue persists, I would suggest you to post your query in Corel Draw Support Forums.
http://coreldraw.com/forums/t/18788.aspx
Let us know the status of the issue. If you need further assistance, please post back. We will be glad to help you.