Yes. Only the DNS records for the website change. Your email records, like MX, stay exactly as they are, and your domain stays at your registrar. The old website records are noted before the switch so a rollback takes minutes if anything looks wrong.
Email and the website share a domain but use different DNS records. A rebuild changes only the records that point the website (usually an A record for the bare domain and a CNAME for www). The records that deliver mail, like MX, SPF, DKIM and DMARC, are left alone.
If your IT team prefers to make the change themselves, I send the exact records to set.
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