Question

I think that both force (number of newtons) and power (p=ui(?)) implies that there is energy so we can't have force without energy and we can't have power without energy(?)

But can there be energy that is energy and no force and no power?

Answer 1

You ask:

I wonder how e.g. radiation can be a power or a newtonian force. We can get radiation from the creation of the universe but we can't really call that radiation a newtonian force or a power from the big bang or can I say that the big bang is causing newtonian movements today(?) e.g. is radiation a newtonian movement(?)

Radiation classically carries energy and if the radiation interacts with a body, then power is transmitted , where power is the rate of change of energy. For example there is radiation pressure in vacuum , in this link. Radiation does transfer energy in a newtonian way, where the force can be estimated from dp/dt, the instantaneous change of momentum .

The big bang is not a simple story to be expounded here and used as an example. Have you read the wiki article?

But can there be energy that is energy and no force and no power

Yes, as said in the comments to your question only interactions need the concept of force and power.