Authoritative DNS for subdomain with dynamic IP

Is it possible to have an authoritative dns server that I host on my server that has a dynamic IP?

I use a dynamic dns client to update my IP with namecheap but want to have a DNS server I control as well. Is it possible for my subdomain to be on my server?

I would use the dynamic dns client to update

Looks like it works.
Dynamic DNS updates A record for
NS points to subdomain and the name is the A record
all queries are being forwarded to my dns server.

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Author: uid500