AWS Certificate Manager (ACM): How to Download SSL/TLS Certificates
You cannot download a private key. You can only download the Server certs.
aws acm get-certificate --region us-east-1 --certificate-arn arn:aws:acm:us-east-1:123456789012:certificate/12345678-1234-1234-1234-123456789012
You can get the JSON output that contains the server and intermediate certs as follows: