Maybe.
I can design a shed and oversee or perform its construction. That does not make me an architect.
I can design and build a model car with a little spring-and-gear engine. That does not make me a mechanical engineer.
I can design and build a little circuit "piano" with pushbuttons and a 555 timer. That does not make me an electrical engineer.
I can lead a team to build proposals; reasonably accurately gauge task complexity; predict completion dates and manpower requirements; define deliverables and release criteria; control defect introduction through manual and automated unit and system tasting; build accurate development, maintenance, and operation documentation; and actually write, debug, and review efficient, best-practices-compliant code for custom software exceeding 100k LOC of new code or modifications per contract, not counting software packages integrated from other ISVs, capable of reliably processing millions of financial and medical transactions per day. Does that make me a software engineer?
Your cellphone is just a brick without software and firmware designed by thousands of developers with millions of hours of dev time, a significant portion of it in critical areas where flaws can result in physical damage, horrible performance or just plain crashing. Your car engine is controlled by a PCM driven by software, weighing in with probably multiple megabytes of code and lookup tables, designed to increase your fuel efficiency beyond what you could get with a mechanical system alone, where flaws will very likely cause serious mechanical and safety problems. The ridiculously convoluted system of wires, routers, switches, and servers that got this message from me to you is all dependent on software largely written by some team or other of developers in a controlled and systematic process and certainly not a million monkeys at random.
Software engineering is real. Many of them are even licensed as professional engineers now. Your conception of who they are, what they do, and their importance to your way of life appears to be flawed.