This claim begins as an open question, "is it usually thunder first or lightning first", but then raises the claim 'so basically we could say they happen at the same time' - due to the piece of data that claims "thunder is created when lightning passes through the air". Therefore, I will be researching this topic with the claim of 'so basically we could say they happen at the same time' in mind.
According to a .gov source:
"In nature, a lightning flash and the associated thunder occur at almost the same time in a thunderstorm. A person on the ground sees the lightning flash before hearing the thunder because light at a speed of around 300,000,000 meters per second travels much faster than sound which moves at 340 meters per second. If one is 1,000 meters away from the thunderstorm, he/she would see the flash almost instantly after lightning occurs as it takes just a few microseconds, while the thunder arrives only after about 3 seconds (1,000 meters divided by 340 meters per second)" (Why Does Lightning Always Come Before Thunder?).
Lightning always comes with thunder. If one sees lighting but can not hear thunder, this means the storm is further away from you. In the above illustration, it is shown that a person 1km away from the thunderstorm hears the thunder about 3 seconds after seeing the lightning flash.
According to an additional .edu reliable source:
"Thunder and lightning occur at roughly the same time although you see the flash of lightning before you hear the thunder. This is because light travels much faster than sound" (Education, Ucar Center for Science. “Thunder and Lightning | Center for Science Education).
While it is a challenge to provide a strong yes or no answer to this question because nature works in ways that are not always consistent or predictable - the claim of 'we could say they happen at the same time' in regard to lightning and thunder, would lean towards being TRUE. Even though humans may interpret or experience the phenomenon of thunder and lightning differently depending on where they stand in approximation to the storm, and light travels faster than sound - technically. without those two factors, thunder and lightning would occur at the same time.
Works Cited/Sources
Education, Ucar Center for Science. “Thunder and Lightning | Center for Science Education.” UCAR, scied.ucar.edu/learning-zone/storms/thunder-and-lightning#:~:text=Thunder%20and%20lightning%20occur%20at,travels%20much%20faster%20than%20sound.
Why Does Lightning Always Come Before Thunder? www.hko.gov.hk/en/education/weather/thunderstorm-and-lightning/00021-why-does-lightning-always-come-before-thunder.html.