No, Abraham Lincoln never owned slaves. Some other Presidents did, such as Thomas Jefferson and George Washington.
Abraham Lincoln was born in Kentucky, a slave state, but his family opposed slavery. They later moved to Indiana and then Illinois, both of which were free states.
Abraham Lincoln's wife, Mary Todd, did come from a wealthy slave-owning family in Kentucky. It took her some time to adjust to a life without slaves, as she had always had someone else to perform the household chores.