will itunes match backup songs on ipod even if it isnt on computer?

I accidentally washed my Ipod Touch 4th Gen and due to storage pressures on my PC (is used for work) i had to delete a load of songs. Foolishly did not forsee an accident happening.😟 I am hoping that I can do this as out of 3300 songs on my Ipod only 900 were bought from Itunes about 500 other songs are on my itunes library. However I really cannot be bothered dragging my CD collection out of storage and ripping them if i can help. Will subscribe to match regardless incase this happens again. An answer would be greatly appreciated for when my new touch arrives.