The answer to this important question is absolutely yes. One will certainly be rewarded for suppressing their lustful desires and not acting upon them in the haram way. We have ahadith that say any time a person comes across a lustful situation, and turns their head to the skies, and asks Allah ta'ala for strength, the Almighty will compensate them with abundant reward.
Something to always keep in mind when we are doing Jihad al-Nafs is to avoid situations that would tempt us. This also means marriage becomes even more important for such a person.
With prayers for your success.