No, you can not choose on your own to legally travel at 16 or 17 to a foreign country without another adult with you.

Usually people of this age would travel with a church group for missionary work or a school sponsored trip that have adult sponsors.  Otherwise, you will be in a dangerous situation. … Read more

Since at 16 or 17 one is considered (mainly because it's true) to be a child, they would need parental consent.