Yes, but it's very rare and hard (actually for most people, impossible) to individually verify.
Quran mentions various individuals other than prophets who received some form of inspiration from Allah, examples being Mothers of Prophet Moses and Prophet Jesus peace be upon them. Lady Maryam in particular saw Gabriel or Jibri'il.
In Sufi and Mystical ...
Allah may sent inspiration not only prophets but non-prophets too:
We had favored you [Moses] another time.
وَلَقَدْ مَنَنَّا عَلَيْكَ مَرَّةً أُخْرَىٰ
When We inspired ("awhaina") your mother with the inspiration ("yuha").
إِذْ أَوْحَيْنَا إِلَىٰ أُمِّكَ مَا يُوحَ
Surah Ta Ha
And even animals
And your Lord inspired (أَوْحَ) the bee: “Set up hives in ...
History and theology are interconnected so if you know about major historical differences, then you have an idea about some of the theological differences too.
On the surface, the divide is about who should've been the immediate (and later) successors to the Prophet (pbuh) invoking the question of merits and dimerits of Sahaba, but on a deeper level, it's ...