Yes, you can give MHT CET and consider admission in Colleges under DTE Maharashtra. However, it would be beneficial having a Domicile Certificate for Maharashtra State and you must Contact nearest Notary Office for it, or perhaps some Document which gives you access to Maharashtra Home State Category, hence you can access the huge percentage of seats under Maharashtra Home State Category in State Colleges like COEP.

For more information about MHT CET do follow the link below

https://engineering.careers360.com/articles/mht-cet