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No.

QuickTime is a program that plays media files. It's not a TV or a TV tuner or the such.

If you however want to watch TV on your computer, EyeTV is what you're looking for.
 
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QuickTime is a program that plays media files. It's not a TV or a TV tuner or the such.

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Not quite true. QuickTime is the frameworks for time-based data in MacOS/MacOS X. The QuickTime Player is the most famous QuickTime-based application. You are correct that it is not a TV tuner. fernandovalente is correct that the QuickTime Player can view video streams. Undoubtedly, elgato's EyeTV TV tuner software is based on the QuickTime frameworks.
 
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