Does Intel chip have Intel's management engine?

[iFreilicht]

I’m also interested in this, so I dug around a little bit.

For this first iteration of the Laptop, you are indeed stuck with Intel. You can always use the regular approaches to disable the ME as much as possible, and coreboot is being explored:

[RESPONDED] Coreboot on the Framework Laptop

Yep, open source firmware is well aligned to our mission of building products that are better for people and the planet. Our EC firmware is based on chromium-ec, and we will be releasing source. As @Kieran_Levin noted, we’re also exploring coreboot. We’re currently focused on getting the Framework Laptop out into the world in a lower-risk path that uses an off the shelf proprietary BIOS, but we’re looking forward to replacing that with an open alternative in the future.

Additionally, Framework is hoping to release other versions of the motherboard in the future with ARM64 and maybe even RISC-V processors:

We architected the mainboard to maximize adaptability to future generations of x86 and ARM (and we hope eventually RISC-V!) CPUs.
(From Framework | Framework Laptop The Upgradeable Mainboard)

So I guess right now it’s not much better than any regular Intel laptops in that regard, but there’s a lot of potential for privacy-conscious upgrades in the future.