Yes, it is true that all sources of electromagnetic waves or radiation are also sources of the electromagnetic field or force. The production of electromagnetic waves involves the oscillation or acceleration of charged particles, which creates changes in the electromagnetic field.
An electromagnetic field consists of electric and magnetic components that are interconnected and propagate through space. When charged particles accelerate or change their motion, they generate electric and magnetic fields that propagate outward as electromagnetic waves. These waves carry energy and information.
Therefore, any source that produces electromagnetic waves, such as radio antennas, light bulbs, or even natural sources like the Sun, is also a source of the electromagnetic field or force.
On the other hand, it is not true that all sources of the electromagnetic field are necessarily sources of electromagnetic waves. An electromagnetic field can exist without radiating as waves. For example, a static electric or magnetic field, such as the field around a charged object or a permanent magnet, does not radiate energy as waves but still creates and sustains the electromagnetic field around it.
In summary, any source of electromagnetic waves or radiation is also a source of the electromagnetic field or force, but not all sources of the electromagnetic field necessarily produce electromagnetic waves.