Yes, and silent bike interactions happen all the time. But a silent bike interaction is like this:
'Cyclist behind some pedestrians, other slow cyclists'
'Cyclist either rings bell or says 'excuse me''
In a car situation, the car would have to honk its horn which is much more interrupting to people trying to sleep then small 'vmmm' which is only hearable in a small radius around the car.
Peds and cyclists often share spaces, and cyclists and cars also often share spaces. The issue is how can a faster silent vehicle safely and socially share a space with slower more vulnerable vehicles.
We have daily accidents with peds walking into a bike path unpredictably and causing conflict. (Not necessarily a crash but annoyance by cyclist having to do evasive maneuver). However if an crash happens its not usually do bad, while even a low speed collision with a car will damage your bike and the car and cost $$$.
So I wouldn't look at the bike as an example of a silent vehicle working well in a city environment. We have many accidents they are just also very minor accidents.
For the people who will point out that this could also be solved with better infrastructure, I agree. Most of the accidents happen at places where e.g. peds get a green light to cross the road and then continue to cross the cycle path on the other side because in their mind they are protected by the green light, but actually now cyclists have right of way. Sometimes we put zebra crossings across bike paths but then everyone is confused because the cyclists don't stop anyway and it just causes more conflict because still the rules are being broken but just by the other party now.
tl;dr rules are confusing and people don't follow them anyway. A city environment is super dynamic, and often infrastructure cannot be changed. Adding 'vmmm's makes those interactions much easier, and its really doesn't cause the noise pollution people keep talking about.