Not really, there is no evidence of Sanskrit being used for conversation other than in learned circles. Most of the Upanishads, Aranyakas and Puranas and the last two vedas were written after 500 BC. Kalidasa - arguably the greatest litterateur in Sanskrit lived after 500 BC. Bhasa - the playwright lived after 200BC. Most of the Sanskrit oeuvre has been produced after 1st AD and prolific works continued till 16th century.