Indeed, the human body contains electric currents that are flowing constantly, even as you’re reading this. We have electric fields in our neurons, endocrine cells, and even muscle cells. Neurons are the most common and easiest to understand. Each cell has a “resting potential” which is essentially a difference in charge between the inside and outside of the cell. When prompted, gates on the cell open up, allowing different ions with different charges to flow down their charge or concentration gradients, allowing signals in the brain and body to flow and prompt other cells! That’s how the neural circuitry in our brain works. However, our overall magnetic field is so small, it’s very difficult to detect without expensive equipment like magnetoencephalography (MEG).

You would experience a torque that would rotate your body to align with the Earth's magnetic field. The stronger your magnetic field, the stronger this torque would be.