So, I've been playing for a few weeks now and there are some companions that I simply do not want. I don't want them on my ship, I don't want them on missions with me, I want them gone. Is there a way to do that?

Like in other Bioware games I could ask them to leave, or refuse them when they join. But I don't see any option for that here.

Can I maybe get them to disapprove enough that they choose to leave like in Dragon age?

There's no way to get rid of them until you reach the KOTFE expansion.

During this, you'll have the option to refuse/kill certain companions.

Unfortunately there is no way to "get rid of them".

Perhaps someday we will be able to select which members are on your ship / bridge or perhaps assign them to a lesser important part of the ship or maybe specific "quarters" (??). IMO that might be a good compromise.

I believe it was possible to get rid of companions in beta, but apparently this created issues when players found themselves without an available healer. Since all companions cover all roles now, it's far less of an issue, but dropping certain companions would mess up your story (certain events require certain companions).

Once you get to the 'eternal' expansions, you'll have the ability to skip, reject or kill many of your companions. I believe the exceptions are:

• Lana - I hope you like her, because she's always going to be there for you.
  
• T7 - I don't think you can get rid of him, although he isn't happy if you ally with the empire.
  
• Gault
  
• Vette / Torian - you have to keep one of them.
  
• Yuun - I don't remember if recruiting him is optional.
  
• Temple - i don't think you can skip/reject/kill her
  
• Elara Dorne - not certain if you can reject/kill her.
  
• Lord Scourge and Kira are key characters in the current plotline: No idea if you will be able to get rid of them when this plotline resolves.
  

I think every other companion can either be skipped, rejected, or outright killed (except Tanno Vik, who does not return as a companion).

So, I've been playing for a few weeks now and there are some companions that I simply do not want. I don't want them on my ship, I don't want them on missions with me, I want them gone. Is there a way to do that?

Like in other Bioware games I could ask them to leave, or refuse them when they join. But I don't see any option for that here.

Can I maybe get them to disapprove enough that they choose to leave like in Dragon age?

If only! I would have loved that for all smuggler companions during the class story. As others have said, when you get to the KotFE storyline (major spoilers you have been warned):

I believe it was possible to get rid of companions in beta, but apparently this created issues when players found themselves without an available healer. Since all companions cover all roles now, it's far less of an issue, but dropping certain companions would mess up your story (certain events require certain companions).

 

Once you get to the 'eternal' expansions, you'll have the ability to skip, reject or kill many of your companions. I believe the exceptions are:

• Lana - I hope you like her, because she's always going to be there for you.
  
• T7 - I don't think you can get rid of him, although he isn't happy if you ally with the empire.
  
• Gault
  
• Vette / Torian - you have to keep one of them.
  
• Yuun - I don't remember if recruiting him is optional.
  
• Temple - i don't think you can skip/reject/kill her
  
• Elara Dorne - not certain if you can reject/kill her.
  
• Lord Scourge and Kira are key characters in the current plotline: No idea if you will be able to get rid of them when this plotline resolves.
  

I think every other companion can either be skipped, rejected, or outright killed (except Tanno Vik, who does not return as a companion).

Yuun is optional. But he is the first one you can recruit and i think he is necessary to unlock the other alliance alert optional ones.

Yuun is optional. But he is the first one you can recruit and i think he is necessary to unlock the other alliance alert optional ones.

Unfortunately he's not really optional; you have to complete his alert (given via Dr Oggurobb) to unlock the companion alerts you actually want, unless they changed that requirement recently.