Is it possible to change your spawn point?

Solution 1:

It is not yet possible to change your spawn point. The developers have stated in a blog post that it will be included in a future release.

Solution 2:

You can change the location you beam down to on a planet by using a Human Flag:

Human Flag is a decorative object available in the basic crafting menu to all Human characters immediately after beginning the game. Each race has a unique flag available.

Flags act as teleporter bookmarks. Once placed, interacting with a flag opens the bookmark window and the location can be saved. Flags do not allow the player to teleport to other bookmarks or their ship, they can only be teleported to from either a ship or a full size teleportation pad.

Solution 3:

It is not currently possible to change the original spawn point.

You can use Flags or teleporters to create custom spawn points.

In a future release they might introduce Space navigation overhaul: http://playstarbound.com/spaceoff/

And seems that this might make possible to choose the landing zone