Yes, Texas A&M admits to first year general engineering (which is not automatic admission for top 10% that automatically admits to the campus), from which one applies to specific majors later (process is called Entry To A Major or ETAM; there are threads about it in the Texas A&M forum section). A 3.75 college GPA is needed to guarantee choice of major; very few who apply to CS with below 3.75 college GPA are admitted to the major.
Agree that UT Dallas and other Texas public universities would be safer choices for CS than Texas A&M.