Directive 2002/24/EC of the European Parliament and of the Council (https://eur-lex.europa.eu/legal-content/EN/TXT/HTML/?uri=CEL...) states:

"cycles with pedal assistance which are equipped with an auxiliary electric motor having a maximum continuous rated power of 0,25 kW, of which the output is progressively reduced and finally cut off as the vehicle reaches a speed of 25 km/h, or sooner, if the cyclist stops pedalling"

So, vehicles which do not require user to pedal, are not electric bicycles. Those are something else. Yes, it is legal to drive such vehicles, but those are not ebikes. Typically those vehicles require you to have an insurance, possibly type approval and maybe even drivers license, depending how fast they go and how powerful the motor is.