Can other shards (besides Odium) travel off world?

[won2three4]

Or is that just an Odium thing?

[Calderis he/him]

As I just mentioned in your oh her question, it's not something only Odium can do. 

There are just consequences. It would either take time and effort to remove the investiture from the system, or they would have to leave a portion of their power behind. 

 

[The One Who Connects he/him]

I'll just quote myself from the other topic. Oh hi Calderis ::wave::

Just now, The One Who Connects said:

In addition to what Calderis said, all of the Shards can travel wherever they want. However, there's fine print to that...

Once they're Invested in a planet, they have two options(that we know about):
1) Rip themselves away from the tied-down chunk of their power and leave immediately. Unknown consequences for the world, and it's not a pleasant experience for the Shards to go through. It also weakens them, as they are operating with say.. 75% of their total power. This is why Odium took great care never to get tied to a planet.
2) Spend time and effort collecting that power, so they can leave whole. This would have big consequences for anything on the planet using their Investiture, among other things. It would also divide the Shard's focus, and make them temporarily weaker(they are using some of their power to collect the rest). This is one reason why Odium hasn't just done this and left Roshar.