Of course the space around you would also accelerate in time, so you'd still arrive billions of years later by anyone else's reckoning. So anything you headed towards that was far enough away would burn out and decay as you approached it, faster the more length contraction you have. And it requires an inconceivable amount of energy. But it's something.
The social network of the future: No ads, no corporate surveillance, ethical design, and decentralization! Own your data with Mastodon!