Yes. Infact, you can workout / exercise better in a fasted state. Try it for yourself.

 

See, when we eat something, all our energy is diverted towards digesting that food. Therefore, if you are consuming a meal or a heavy drink before your workout, all your Pranshakti will get engaged in digesting that food and you won't be left with enough energy to do the exercise. 

 

However, if you wish you may have coconut water or any green vegetable juice before your workout. After your workout, you can have a smoothie or a smoothie bowl with some soaked nuts, dates or coconut milk.