Is landing without engine power routinely feasible?
Not feasible. A start of each engine can take 30-60 seconds or longer and would require the APU (noisy). In some airplanes you lose the packs during start so you would impact pressurization. Additionally many engines have a required time at idle after start before significant thrust is applied.  Lastly, with all engines offline, the airplane will be in some sort of essential power mode and many systems will be offline or unavailable.

You might then ask that we land at idle but that can present issues with spool up time before thrust is available. 

One of the primary reason we land with a high flap setting is so that we have the drag to maintain approach speeds with the engines spooled up. This gives us near immediate power if we need it to go around. 

I'm sure someone else can provide historical data from when idle approaches in jets were normal and specifics into why we don't do this today.