Yes, but it's harder than just buying an esim from silent.link (or whatever) and installing it. The biggest issue is that phones have IMEIs that you can't change, so even with an esim you bought "anonymously", that won't do you any good if you install it to your iPhone that's linked to you in some way, eg. bought in Apple store with your credit card, inserted another SIM/esim that has your billing information, or simply the phone has pinged cell towers near your home/work for an extended amount of time.
Yes, but it's harder than just buying an esim from silent.link (or whatever) and installing it. The biggest issue is that phones have IMEIs that you can't change, so even with an esim you bought "anonymously", that won't do you any good if you install it to your iPhone that's linked to you in some way, eg. bought in Apple store with your credit card, inserted another SIM/esim that has your billing information, or simply the phone has pinged cell towers near your home/work for an extended amount of time.
For max privacy, remember to buy the phone anonymously as well. Be cognizant of links to non-anonymous IPs, emails, and identities.