Assuming your school is like most, each Associates degree has a specific set of required courses. At mine, an AS (and that's what you'd probably be getting) is 64 credits. 6 English, 3 Comm, 3-5 Math, 8 Lab, 2 PE, 15 Liberal Arts. Even if you have all of those done, you're not yet ready to receive your Engineering AS. That's because in addition to the courses listed above you'd need (again, at my school) 24-27 Elective credits -- credits intended to fulfill the major requirements of your particular program. In this case, engineering.
To get a general AS in 'something' you need 3-5 math credits, but to get an AS in engineering you need.. well, more. Calc I-III, Linear Algebra, ODE. Just 2 labs, but engineers need more; Physics I-II, Chem I (ChemE needs II), etc. Other electives you might need (depending on your chosen engineering field) would include things like Intro Engineering, Statics, Dynamics, Strength of Materials, Engr Graphics, Circuits I-II (plus labs), Surveying, OChem, CS courses, etc.
The best thing about an Engineering AS is that when you transfer to a University with a matriculation agreement, all uni "core classes" are waived. In other words they assume that you've taken all classes generally taken in the first 2 years, and you don't have to worry about fulfilling whatever BS liberal arts requirements they have at their school in addition to the ones you fulfilled at your CC.
Tldr version: "No."