If you really wanted to redirect a domain with only DNS records and are OK with third-party services, you may use forwarddomain.net.
It works by setting your source domain (e.g. www.olddomain.com) CNAME to r.forwarddomain.net (or A+AAAA records of that) and set the target domain URL by writing a TXT record with _ prefix (e.g. _.www.olddomain.com) to that domain with forward-domain= prefix (e.g. forward-domain=https://newdomain.net). The full DNS record will be:
www.olddomain.net. IN CNAME r.forwarddomain.net
_.www.olddomain.net. IN TXT forward-domain=https://newdomain.net/*
That will redirect www.olddomain.net to newdomain.net, also works with HTTPS.