Kind of.

Making something out of UL registered components (UR) does not make it UL approved, but makes approval much easier and quicker. You could make a Spinning Knife Electrocuting Machine of Death (TM) out of all UL registered components - UL may still choose to not certify it (their loss).

CE is different from UL. CE is the pirates code - more like guidelines. A manufacturer can self certify their product CE. No one has to verify it, but the manufacturer is potentially liable if there is an issue. I