Yes, you can do it, but NOT in the way that you noted.
DSL is provided over the phone line from the phone company. In other words, they are energizing the phone wires in your house. One line comes in from the outside and then powers every outlet in your house - that's why you can plug your DSL modem into any phone jack and get internet.
If you plug the OBi's phone jack into the wall, you'll fry the OBi. Therefore, you have to make the DSL signal come out of one jack only, and disconnect it from all the other jacks - which is what Shale means by "isolate the DSL signal".
Some houses have 1 continuous wire that goes from outlet to outlet carrying the phone signal. Others have a distribution box that sends the signal out on multiple wires.
The easiest way to solve your problem is to determine which two wires the phone company is using to provide your DSL service, and then use the other two wires to connect the remaining outlets together. Then, plugging the OBi into any one of those outlets will power all of them except the outlet supplying DSL service.