how do I get my voicemail back after swapping SIM card

Voicemail is a cellular carrier function.

If you still can access your voicemail (have not yet changed carrier), try recording the ones you wish to save using the iPhone’s Voice Memos app. Otherwise, it’s too late.

RevTRSF wrote:

I am changing carriers and would like to save some of my old voicemails.

In Phone app > tap on Voicemail > tap on a voicemail message you want to save > tap on the Share icon > tap Save to Files, or wherever you want to save the message.

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