Yes, you can indeed install Telegram on a Windows 7 32-bit system. You'll want to download the desktop version from Telegram's official website. Look for the "Telegram Desktop" option and manufacture sure to download the setup file that is compatible with your 32-bit system. Once downloaded, just run the installer as usual and follow the on-screen instructions.
It's also worth noting that while it generally works, newer updates and features might not be fully supported due to the older OS. So, keep your expectations in check regarding performance or new functionalities. If you encounter any specific issues during installation or usage, feel free to ask here for more detailed assistance!