No, the admissions in Maharashtra Govt and private colleges are done on the basis of MHTCET and JEE MAIN score/rank only as there is no such separate exam. So if you wish to get admission there better to apply for both entrances.

Hope this helps!!!

In order to take admission in government engineering colleges you have to appear for MHT CET exam and for private you can appear in MHT CET or JEE Main.

There is no other entrance exam to take admission.

Good Luck!!