YOU SAID:
I hope i can go home today to see my cat
INTO JAPANESE
今日は猫に会いに帰っていいのに
BACK INTO ENGLISH
Can I go home to see my cat today?
INTO JAPANESE
今日は猫に会いに帰っていいですか。
BACK INTO ENGLISH
May I go back to see my cat today?
INTO JAPANESE
今日は猫に会いに戻っていいですか。
BACK INTO ENGLISH
May I go back to see my cat today?
That didn't even make that much sense in English.