No. The definition of democracy is simply 'rule by the people' and
not by its elite or intellectual class only.
@Mighty_Dragon_Strike has actually explained the limitations of your definition of "democracy" very astutely.
No such animal as "democracy" even exists, nor can it exist. Whatever you see in western countries is in fact somewhere along the spectrum of oligocracy or plutocracy (rule by elite and controlling classes). In the Muslim world, western nations are happy to push the same types of government with even more restrictions or even mob rule (ochlocracy) in order to sustain external influence. Look at Iraq, Syria etc where western influence has not brought "democracy" but rather rule by the strongest and most compliant mafia available.
But the explanation of why "democracy in Pakistan" is a fundamentally flawed aspiration (and is in fact, one that is pushed by malevolent western nations who themselves know full well they will never practice what they preach

) does not end there. There is more to be said yet.
A
reasonable "democratic choice" of leadership can only be made when the following conditions are satisfied:
1. Absolute and free access to all information that is required to enable said choice.
2. An electorate that has the prerequisite education level and capacity to make an informed choice.
There's more.
Even then, fulfilling all the above theoretical criteria (which cannot possibly be attained btw), the reasonable choice is still dependent on the absence of biasing factors (e.g. sycophantism, foreign interference).
Democracy never once existed in pure form in any society in the world. Even the ancient Greeks knew this. The cult of democracy is pushed on lesser nations like Pakistan in order to exploit them via either a ruling elite, an incorrigible mob, or an idolised individual. All are equally corruptible. There is a very good reason that India and Afghanistan bark loudest for Mr Khan to return to power.
Pakistan needs to do what is best for Pakistan. I do not pretend to know what that is. However, many of us now know what that isn't.