It's absurd to draw such a general correlation.
Well, it helps to have good writing skills in these sciences since you need to report your work. You have time to develop that. Not necessarily essays - I hated those and I am an engineer - but technical documentation in writing is very important
Sounds backwards to me.
Yes and no, yes because every field will ask you to write essays but no because it's more important to be good with math
I can only speak about chemistry and partly about physics (ish). But, there is report writing involved in chemistry. These are often lab reports and what makes them easier is they are very structured, i.e. do one and you have a template for the rest. The maths in chemistry isn't very hard at an undergrad level certainly compared to physics, and possibly engineering. Answer Writing essays is in many ways like math. Find the format -- possibly the main statement and the reasons it is so, or some other. Writing reflects clear thinking and you'll build those skills as you take more science courses.
Not normally, that describes most (of us) engineers,
Yes, that is possible. The sciences of physics, chemistry, and engineering do not depend upon the ability to write essays.
Not necessarily. They may be difficult for you if you're the sort of person that thinks this question makes sense, though.
You'll need both math skills and writing skills. You should definitely practice writing essays. Not only will this help you in the short term, but you'll need writing skills later on for many different jobs.
No, you have to be good at physics and engineering to be good at it. Engineering would require you to write reports, but to write a 2500 word report? It's about quality, not quantity. If you can write a good essay, then you should have no problem writing up reports for when you do engineering work - assuming you know what you're doing. If you're hopeless at writing essays, physics and engineering, then you're going to be bad at it.
No, you do not suck. You . . . blow ? However you say it, the question quotes a false syllogism.