If I remove the engraving from my order, the delivery date will change?

Engraving is performed during manufacture - and as such the order must be fulfilled from the country in which the device is made. Shipping may be longer.

Non-personalised devices are fulfilled from in-country regional inventory - and may therefore ship far quicker than those that are personalised/engraved.

Given that contributors here are all end-users, just like you - and have any direct visibility of Apple’s supply chain - the only way to find out is to try to change your order with Apple.