From what I understand, the question is talking about equality in terms of difficulty of life or difficulty of Allah's test.
The answer to that is clearly no.
A simple evidence is that we are told to make the following dua:
[...] Lord, do not burden us as You burdened those before us. [...] (2:286)
And according to the Prophet (SAW), Allah accepted the dua.
This dua refers to the tests and difficulties put on previous nations like the Jews and Christians. We are told to pray to Allah to not make us go through tests of the same magnitude.
That proves that not all people have the same difficulty in life. Some people can have more, and some people can have less.
Another evidence that proves different people are tested to different levels:
Saad ibn Abi Waqqas narrated that he said: "O Messenger of Allah(s.a.w)! Which of the people is tried most severely?" He said: "The Prophets, then those nearest to them, then those nearest to them. A man is tried according to his religion; if he is firm in his religion, then his trials are more severe, and if he is frail in his religion, then he is tried according to the strength of his religion. The servant shall continue to be tried until he is left walking upon the earth without any sins." (Sunan Tirmidhi)
However, we can say with certainty that on the Day of Judgement everything will be equalized. Meaning, the one who is tested more will get more reward, so it will be worth it for him.