מֵאַיִן לִי בָּשָׂר They knowquiteknow quite well that they are demanding something from me me which is quite beyond my power to give them. And as, having the completely sufficing and satisfying food in the manna, what they are asking for is something dispensable and superfluous. Their demand is nothing but plaguing tormenting of the man in whom they see the leader of their fate. And had he been the right man he would have long ago won their love and respect which would never have allowed such vexatious desires to arise.
Just because the demand was for something quite dispensable and superfluous neither Moses nor the people could expect that Hashem would grant it in some miraculous manner.
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The short answer to your question is Yes. That is why they were punished for the improper actions and complaints.
Beha'aloscha 11:1 starts out that
That is that the people were looking for an excuse to complain about things and decided to cause trouble.
Rav Hirsch translates
After they were punished for totally baseless complaining, the eirev rav came up with an excuse of lack of meat
This is translated by Rav Hirsch as
That is to say, they did not lack anything in themselves but they pretended to have a lack because they did not want to actually have to work for what they received or even have to go out and collect the manna. Additionally they did not want to have to imagine what taste the manna should have, but as said in verse 5:
One can also say that they did not want to have to kill and eat their own cattle, but to maintain the flocks and riches that they had brought from Egypt. They also did not want to have to prepare the manna that they had gathered.
Note that it says in Beha'aloscha 11:13
They do not want to use their own cattle, nor do they want to hunt deer or catch fish or trap birds. They want me to provide it for them miraculously, over and above the miracles that Hashem has provided for them.
Aws Rav Hirsch says.
Rav Hirsch continues in Beha'aloscha 11:22, as a result of being told to appoint the 70 elders:
Hashem then says that He could provide sufficient meat from the natural conditions of the world, and that He knows that it is really an excuse which is why they will be punished.
Be careful what you ask for - you may actually be given it as a punishment.