Will it be possible for any of the people of Paradise to ask his Lord to make him among those of the highest degrees?

Praise
be to Allah

Firstly:

Paradise has
degrees or levels (we ask Allah to make us among its people), and Hell also
has degrees or levels (we seek refuge with Allah from it). The people of
Paradise will vary in their degrees or levels, according to the level of
their faith and righteous deeds in this world. The best of them in
knowledge, righteous deeds and faith will be the highest of them in the
levels of Paradise.

The people in
the lowest levels will not be able to attain what is in the highest levels,
because they did not do that which makes them deserving of attaining those
levels.

If all the
people of Paradise were to share in the bliss that Allah has prepared for
those who are above them, then there would be no wisdom in the variation of
status and degree!

By Allah’s
perfect justice, those who are deserving of Paradise will not all be the
same in degree or level of bliss. Variation between people in this world in
terms of faith and obedience leads to variation in their status and standing
before Him, may He be glorified and exalted.

See the answer
to question no. 126349.

 Secondly:

The people of
Paradise will be in a state of eternal bliss, whether they are of the
highest levels or less than that. There they will have whatever they wish
for, as Allah, may He be exalted, says (interpretation of the meaning):

“Gardens of
perpetual residence, which they will enter, beneath which rivers flow. They
will have therein whatever they wish. Thus does Allah reward the righteous”

[an-Nahl 16:31]

“For them
therein is whatever they wish, [while] abiding eternally. It is ever upon
your Lord a promise [worthy to be] requested”

[al-Furqaan
25:16]

“Circulated
among them will be plates and vessels of gold. And therein is whatever the
souls desire and [what] delights the eyes, and you will abide therein
eternally”

[az-Zukhruf
43:71].

Ibn Katheer (may
Allah have mercy on him) said:

“They will
have therein whatever they wish” i.e., of pleasures, such as food,
drink, clothing, dwellings, means of transportation, views and so on, such
as no eye has seen, no ear has heard, nor has it ever crossed the mind of
anyone.

End quote from
Tafseer Ibn Katheer (may Allah have mercy on him)

Al-Sa‘di (may
Allah have mercy on him) said: i.e., no matter what they wish for and long
for, they will get it in the fullest and most perfect manner. They will
never able to ask for any kind of delight that would bring them pleasure and
great joy, but it will be granted to them. Hence Allah will give the people
of Paradise what they wish for, to the extent that He will even prompt them
to ask for some types of delight that never even occurred to them.

End quote from
Tafseer as-Sa‘di (p. 439; see also p. 579).

Conclusion:

Whatever the
people of Paradise wish for, that is what they will enjoy, according to
their status and level in Paradise, and Allah will make them pleased with
it. They will not envy those who are above them, and no desire for a higher
status will undermine the bliss they have.

If the wishing
was absolute, as the questioner understands it, then it would be possible
for one of the people of Paradise to want the status of the Prophets and ask
the Lord of the Worlds for that, but it is known that this is impossible.
Otherwise, there would be no meaning to the superiority of a Prophet over
others, and the superiority of the one who strives hard in righteous deeds
over the one who does righteous deeds but does not strive hard, or the
sinner.

And Allah knows
best.