It is rare, but possible, to fully recover from a stroke. The amount of recovery needed depends on the amount of damage done to the brain and what part of the brain was damaged. Approximately 25 percent of patients die within a year of a stroke, but others can recover fully. In many cases, rehabilitation is necessary and there will be lasting effects.
No, you cannot fully recover from a stroke, because the person is always at higher risk to have another. A stroke means that a portion of the brain has died. Even though a person might train other parts of their brains to perform the same functions that were killed, the portions of the brain that have died will never fully be the same.