Yes, although I think the word pastime is used more in America, and hobby is used in Australia for example. All English speakers will understand both.

See these definitions from the Oxford Dictionary: Pastime "An activity that someone does regularly for enjoyment rather than work; a hobby". Hobby "An activity done regularly in one’s leisure time for pleasure" Yes, they mean the same thing.

A hobby is a set of actions we really enjoy and have a passion for.A pastime is simply a way we pass the time to avoid being bored. :-)

Both words are perhaps used to denote the same activity.However,this would be a pastime and not a hobby as you may not otherwise spend your leisure time listening to music

I would say a "pastime" is something you like to do to pass the time, while a "hobby" is something you have an interest in, so they are usually the same.