Yes your AirPods can still be turned on without the case. While the case is always involved in pairing with devices for the first time it isnt required when reconnecting. This means you can still connect your AirPods to devices you have already previously paired with.

Cant locate AirPods if the case is closed - Apple Support Communities

I dont understand why my AirPods can not be located unless the lid is open. If they are going to go missing they are going to more likely than not going ...

Can you connect to AirPods if case is closed or dead? (Answered)

12‏/05‏/2022 — No you cannot connect to Airpods in a closed case. This is because the Airpods need to be in the case to charge and once they are charging ...

How can I find my AirPods Pro case when its closed? - Quora

How can I find my AirPods Pro case when it’s closed?

How To Connect AirPods When Case Is Dead - BURGA

23‏/02‏/2022 — Your AirPods case does not need to be charged for your AirPods to work. Even though the case is dead your AirPods are still connected to the ...

Connecting to AirPods even when in case and case is closed - Reddit

28‏/07‏/2017 — A few times a day my AirPods still show as an output source on my iPhone (such as during a call) even if they are in the case and the case ...

Why is AirBuddy showing my AirPods even when theyre in the charging ...

Sometimes AirPods will keep sending information (usually from just one of the buds) after theyve been put in the charging case and the lid has been closed.

Airpods Connecting While in Case? Try These Fixes - Techzillo

20‏/04‏/2022 — Why Do My AirPods Connect When Theyre in The Case ... Closing the case allows them to start charging so if you place them in there without ...

AirPods Connecting Randomly to Mac or iPhone (Even When Case is ...

28‏/06‏/2022 — Do you have a problem with your AirPods connecting randomly to Mac or iPhone even when the case is closed? If so dont worry – youre not ...

My AirPods Wont Connect To My iPhone! Heres The Real Fix.

If dirt dust or other debris gets into your AirPods or Charging Case it can affect their functionality and cause hardware problems. For example if there is ...