Canon
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The [Ultimate Star Wars][1] factbook confirms that Coruscant imports its food (along with all of its other consumables) from off-planet.

> ***Global megalopolis:**  
> Exhausted of all natural resources, Coruscant is
> entirely dependent on outside support to survive*

Legends
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There are various *mentions* of hydroponic farming although with a population of trillions, you wouldn't get very far unless vast areas of the planet were given over to it.

> *Orbital traffic encloses the planet like electrons around a nucleus,
> delivering food and supplies, ambassadors and tourists.* 
> 
> *Palaeontologists believe most of Coruscant was already paved over by
> the time interstellar flight became common. Such rampant
> overpopulation forced the inhabitants to develop the first atmosphere
> scrubbers, hydroponic farms, delivery pipelines, and recycling plants.*
>
> <sub><sup>[Coruscant and the Core Worlds D20 Gamebook][2]</sub></sup>


  [1]: https://starwars.fandom.com/wiki/Ultimate_Star_Wars
  [2]: https://web.archive.org/web/20160506195233/http://www.offplanetgames.com/pub/sw/D20%20-%20Star%20Wars%20-%20Coruscant%20And%20The%20Core%20Worlds.pdf