TortoiseSVN The coolest Interface to (Sub)Version Control

An exe installation file wouldn't help. If msi installation is really disabled on your machine, then you don't have ADMIN priviledges either. And you would need those to install TSVN (shell extensions require ADMIN rights to install).
But first make sure that msi installation is really disabled - that can only be if your domain administrator disabled it. Otherwise, check our FAQ for problems with installation.
Maybe you just need to install the msi package from Microsoft first:

Windows Installer 3.1 redistributable

And for all those who like to suggest to use something else than an msi (we even had people demanding we use a simple bat file for the installation) let me explain once and for all why we use an msi:

• It's open. Everybody can see what we're doing by using msi tools like Orca.
• It's easy to adjust an existing msi for your special needs if you like. There are tools with which you can edit an msi manually. You can't do that with an exe installer.
• It runs with SYSTEM privileges, not just as e.g. Administrator. That's important because TortoiseSVN is a shell extension which requires us to create and modify registry keys which aren't accessible to user accounts (at least on Vista, that would cause big troubles if UAC is enabled).
• It's easy to distribute an msi to multiple computers/users in a domain via GPO's. All other installers would require a domain admin to first 'wrap' that installer inside an msi to do that.
• msi is the standard and recommended way of installing windows applications.
• There's a great open source tool for creating msi files: WiX which we use.

That said, please accept that we won't change this. We won't create another installer for you. You have to live with the fact that TortoiseSVN requires msi.