Truthfully software engineering is much more than just programming. Software Engineering deals with the whole software life cycle from pre-development activities (requirements gathering, prototyping, architecture, planning, estimation, budgeting, choosing appropriate methodologies) through development, testing, QA, and post-implementation of software systems.
To be an engineer one must posses a solid fundamental understanding of science (physics, chemistry and most importantly mathematics). These are not subjects that are mastered through attending a vocational school. Why would these subjects be needed by a software engineer? Because they're required to understand the systems that form the natural world, and this knowledge is priceless when designing new systems. Going through the rigor of studying engineering teaches one how to analyze and learn, it formalizes one's intuition, and fosters an appreciation for pragmatic yet elegant design.
When I hire engineerings I expect no less than a degree from an Engineering College at an accredited University. When I hire developers, vocational school is fine, given they can demonstrate they're proficiency in the required technology.
Nice try, thanks for playing.