This is based on general knowledge, and no direct experience with trying to do anything with a Baby Eagle using CZ parts... but its VERY UNLIKELY.
The Tanfoglio-based guns are generally made quite differently than the CZs, with different barrel diameters and different locking lugs. (And while the Baby Eagle may be finished, refined, and fine-tuned in Israel, Tanfoglio makes most of the key components.)
Remarkably few parts interchange between the CZ and "clone" guns. Mags and some springs are about it. (Pins are a different size, most springs work differently, different dimensions, etc., etc.)
Most small-frame Tan guns use the same barrel diameter for 9mm and .40 versions, so that barrels can be interchanged between calibers, Tan even built them so that headspace and extractor function is not compromised.
That means that most of the Tan 9mm barrels are too large to work in a CZ slide; vice versa, too, of course, and even if they would fit, headspace and extractors might be incompatible.
Contact Magnum Research and see what they charge for a replacement barrel.
