You could try using super glue, so long as you don't get it on the pins. You'll have to treat it very gently, and it'd only be good for a temp job, just to get the data off the drive. If that doesn't work you'll have to solder some wires onto the pins, and connect them to a sata connector. E.g. get a sata cable, cut it in half, solder the individual wires onto the pins.
"As a result of all this hardship, dirt, thirst, and wombats, you would expect Australians to be a sour lot. Instead, they are genial, jolly, cheerful, and always willing to share a kind word with a stranger, unless they are an American." -- Douglas Adams