Can we supplicate to Allah without wudu/ablution, at any place, at any time?
Yes we can, at any place, any time. Salah requires Wudu/Ghusl but making Dua or reciting God's names or reciting the Quran does not. However as, with wudu, you are in a purer state, it is good etiquette to make Dua in the best manner ie. with Wudu.
In the place of excretion, it's probably unpreferred.
-
1please don't answer questions which are duplicate. please consider: How to Answer and take a tour Help – nim Jul 18 '16 at 13:03
You need wudu to touch the Qur’an Al-Kareem you can rwcite by heart without widu but to touch the Qur’an Al-kareem you need wudu