yes you can.

each citizen gets an anonymized private key via a secure channel (eg. postal) and use that to vote.

votes are double enveloped: outer envelop: anonymized id + inner envelop: vote.

mixnet separates the votes and cryptographically shuffles them to decouple relationships.

only at the end the shuffled votes are decrypted using the private key of the election itself that was split using shamir secret sharing (eg 5 out of 7 shares to reconstruct)

the thing that’s not clear from the article and it’s a shame is that it seems the failure was the hardware (the 3 USB keys) not the election software. This could be simply avoided by having redundancy on the hardware (2 USBs per share) or more shares themselves (5 out of 9 shares)