Assalamu Alaykum,
Do the people of paradise have professions like engineering, medicine... or they don't work at all?
Thank you

All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.

Paradise is the home of enjoyment and a person does not have to work and face hardship as it is the case with the work in this worldly life. Rather, if a person desires something to enjoy himself with, Allaah may realize that for the person. Allaah Says about Paradise (what means): {And therein is whatever the souls desire and [what] delights the eyes.} [Quran 43:71]

Moreover, Anas narrated that one day the Prophet was preaching (teaching the Hadeeth) while a Bedouin was sitting there. The Prophet said: "A man from among the people of Paradise will request Allaah to allow him to cultivate the land. Allaah will say to him, 'Haven't you got whatever you desire?' He will reply, 'Yes, but I like to cultivate the land (Allaah will permit him to do so and) he will sow the seeds, and within seconds the plants will grow and ripen and (the yield) will be harvested and piled up in heaps like mountains. On that Allaah will say (to him), "Take, here you are, O son of Aadam, for nothing satisfies you." On that the Bedouin said, "I swear by Allaah, such a man must be either from Quraysh or from the Ansaar, for they are farmers while we are not." Upon hearing this, the Prophet smiled.'' [Al-Bukhari]

Finally, it should be noted that a Muslim should not preoccupy himself with such details which are mentioned in the question. Rather, he should be concerned with acquiring beneficial knowledge and perform good deeds so that he would enter Paradise.

Allaah Knows best.