Power is formally defined as the amount of work done over a period of time. Work is a fundamental concept in physics, and is quantified in units of joules. And the derived quantity of power is canonically expressed in units of joules per second; a watt is by definition 1 joules per second (it is simply defined as such by humans).
Electrical current describes the rate of change of charge over a period of time. Charge is a fundamental quantity in physics and is expressed in coulombs. And the derived quantity of electrical current is expressed in coulombs per second; an amp is by definition 1 coulomb per second (it is simply defined as such by humans).
If you understand and/or accept the fundamental nature of what a joule represents and what a coulomb represents, it is self evident that the derived quantities of power and electrical current are fundamentally different. They are relatable things, but a third concept links them.
That concept is voltage (electromotive force), which is another derived quantity, and which is expressed in terms of joules per coulomb; and again by human definition 1 joule per coulomb is called a volt.