Jeg = I Meg = Me Mi/Min/Mitt/Mine = Mine
Her er bilen min = Here is my car Bilen er min = The car is mine Dette er min bil = This is my car Her er huset mitt = Here is my house Huset er mitt = The house is mine Her er mora mi = Here is my mother Her er vennene mine = Her are my friends
No, you really can't say that and be correct. Everyone would understand you, but if you want to use "din", you'd have to say "konen din". There aren't a lot of feminine words that use the -a ending where you would also use "di" that you have to remember; I can come up with kona, jenta, bikkja - but I otherwise hardly ever used the -a ending in every day speech.
(Not a native speaker, but lived in Drammen for 18 years.)