No, computer engineering tends to focus more on hardware. When I was doing that kind of thing in college, computer engineering did things like chip design and logic boards and so on. I had courses on DSP and VLSI, multiple assembly languages, RISC vs CISC systems, and so on. In my university, it was considered a subspecializqtion of electrical engineering, with the first two years of undergraduate study being identical.

When I switched over to CS, I was doing things like numerical analysis and software systems architecture.

Both majors used math, but CE (as an EE major) required students to go through (iirc) calculus 5, and I think that CS majors could stop at calc 3 but would end up having to do different kinds of math after that.