Do any of the colleges in engineering make exceptions to the cumulative 2.5 GPA academy requirement? For example, a 2.4 Blinn GPA and a 3.0 A&M GPA?

I don't think departments have the option to make an exception. You have to meet those minimum standards in order to be eligible for ETAM and even be considered by a department. What major are you hoping to get into? I encourage you to talk with an EASA advisor. And potentially an advisor for the department you want to join. There's a chance you might be able to take a lot of the same classes even if you aren't in the major yet and not put yourself behind too much.

Nope, you need to make what they say you must make. 2.5 blinn and a 2.0 tamu