Yes you will be able to get admission in all streams at Government college of Technology Coimbatore for following streams :

• Production engineering
  
• ECE
  
• EEE
  
• IT
  
• Civil engineering
  
• CSE.
  

Your chnaces decent for CIT under BC category for Information technology engineering only.

https://engineering.careers360.com/articles/tnea-cutoff

All the best!