Yes, but you’ll probably need to compromise somewhere. In compact cameras, a long zoom, small size, and high image quality often pull against each other.

From the suggestions given:

• Canon PowerShot SX30 IS offers very long zoom and HD video, but it’s more of a superzoom camera than a truly compact one.
• Canon G11/G12 are well regarded for photo quality and compactness, but their zoom range is shorter than your 8–12x target.
• Canon S-series superzooms mentioned in the answers can fit the zoom requirement better, but size may still be an issue.

So the answer is: yes, options exist, but not usually with every feature in one very small camera. If zoom is your top priority, look at a superzoom model like the SX line. If image quality and compactness matter more, a G11/G12-type camera is a better fit, even with less zoom.