Currently, no there are very few conscripts in Ukraine. Most of the conscripts are used to defend border regions like Belgorod. What often happens is that conscripts will be given the option to sign a service contract after their conscription call up ends. If Moscow implemented a broad conscription effort to send troops to Ukraine it would be incredibly unpopular but as it stands now that's a possibility in the future because some articles I've read indicate that there's fewer people willing to sign contracts even with the rising amount Moscow is willing to pay.