On this page of the guide to Death Stranding, you will learn whether the game has more than one ending.
No, Death Stranding doesn't have several different endings. You don't have any control over how the game ends - it always plays the same ending cut-scenes.
The ending of Death Stranding isn't affected by factors such as completing only some of the orders for Sam, ignoring side orders, not reaching the maximum Connection Level in the allied locations, having low world reconstruction level (asphalt roads etc.) or avoiding cooperation with other players.
It is worth noting that you can continue the game after completing the main stroyline. Thus, you can continue doing additional activities. However, you won't be able to replay the story, only get more from the game and unlock the remaining trophies.