Assuming the grandfather paradox is wrong and by going back in time and killing your own grandfather would create an alternate timeline. Can you then go back to your own timeline? How? Are we going to assume the traveling device (if it's machinery) is gonna have some sort of feature so you can jump around not just in time but in alternate timelines aswell?
Example: If you would go back in time and do something that would create an alternate timeline, going forward in time would not send you to the future of your timeline but to the future of the alternate timeline you just created.
Example: If you would go back in time and do something that would create an alternate timeline, going forward in time would not send you to the future of your timeline but to the future of the alternate timeline you just created.