Is there any way I can connect a USB external hard drive to your computer via an eSATA port instead of USB?

There is a difference in speed. With a USB connection its 480 Mb / s, eSATA although its 1000Mb / s. Is there some kind of adapter that can make my USB external hard drive connected to eSATA port in my pc?

No, but even if it were possible, would remain limited to the speed of USB. Any operation of a compuer is not limited to the component Slower operation

Kanguru e-Flash 16GB & 32GB eSATA/USB 2.0 Flash Drives

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Antec Case P193 Performance One ATX Mid Tower 4/1/(6) Bays USB Esata HD Audio Black $203.59 Larger and more versatile, the Antec P193 stands apart from the competition with room to handle the biggest hardware out there.Together with the cooling features and Quiet Computing technologies that the Performance One series is renowned for, the P193 is truly in a class all its own....

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Seagate FreeAgent GoFlex 1 TB USB 3.0 Ultra-Portable External Hard Drive in Black STAA1000101 $103.95 The GoFlex ultra-portable drive makes it easy to store, back up and encrypt all your files with its plug-and-play USB 3.0 connectivity. This drive is great for taking with you on business trips, vacations and on the go allowing you to save or access your videos, photos, music or files. The GoFlex ultra-portable USB 3.0 drive interface returns blazing fast USB file transfer speeds and the GoFle...

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Western Digital My Passport Essential SE 1 TB USB 3.0/2.0 Ultra Portable External Hard Drive (Silver) $121.99 Western Digital My Passport Essential SE WDBACX0010BSL 1 TB External Hard Drive WDBACX0010BSL-NESN 1036...

COOLERMASTER CM 692 ADVANCED ATX MID TOWER NO PS 4 0 (6) BAY USB AUDIO ESATA BK $74.76 Cooler Master's CM690-II is the apogee of mid-tower chassis development. Its development began with the original CM-690 and will be fulfilled with the launch of the CM690-II. This mid-tower chassis improves upon the CM-690 in technical, aesthetic and user friendly aspects. Cooler Master's CM series are enthusiast-grade products that are built for simplicity in design and elegance in outlook. Essen...

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LACIE 301192U 1TB GOLDEN DISK USB 2.0 7200 RPM 8MB LIQUID METALLIC GOLD General Information ManufacturerLaCie Manufacturer Part Number301192U Manufacturer Website Addresswww.lacie.com Product NameGolden Disk Hard Drive Product TypeHard Drive Technical Information Storage Capacity1TB Drive Performance Data Transfer Rate480Mbps Maximum External Rotational Speed7200 rpm Interfaces/Ports Interfaces/Ports1 x USB 2.0 USB Physical Characteristics Form Factor...

WD Elements 500GB USB 2.0 Portable Hard Drive Neoprene Slip Case $3.21 The Portable Hard Drive Neoprene Slip Case provides perfect protection for your hard drive against unwanted scratches, dust, and other damages. This slim, compact slip case is conviniently designed to allow easy access to your hard drive and it's accessories. Perfect use for professionals and students!...