Yes they can be added.
The removable links have holes in them like the ones either side of the clasp in your photo.
There are usually 3 or 4 of them on each part of the bracelet I think.
The clasp can be adjusted also - yours looks to be adjusted to the minimum, so if it’s only a bit too small you could try that.
Otherwise EBay or a WTB add is your way forward.
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