Can a name server address point to itself?

[support at codefit.com]

i.e., if I have a domain name fakedomain.com and register that name as a
name server with a registrar - ns1.fakedomain.com, ns2.fakedomain.com, can I
also use the fakedomain.com as an actual web site, and also set up the
register info for fakedomain.com as a domain which points to itself, i.e.
point to ns1.fakedomain.com, ns2.fakedomain.com?  Would fakedomain.com need
to have a different IP address from the NS1 And NS2 IP’s?

Thanks for any info.