Sure, we can find some alliteration in this novel. But it's likely to be accidental on the part of the author.

Generally, we look for alliteration in poetry, or in poetic prose, especially in works meant to be enjoyed aloud like plays and speeches. Alliteration is a sound device in which the writer repeats the beginning sounds of words on purpose, in order to grab our attention, add emphasis, make phrases memorable, add rhythm, and so on. For example, "weak and weary" is a phrase featuring alliteration in the line "As I pondered, weak and weary" in Edgar Allan Poe's poem "The Raven."

If you look inside the novel Tangerine, you'll find alliteration in lines like "too many times" (page 11) and "The smoke was thick and strong smelling" (page 33) and "sick to my soul" (page 206). 

However, these examples may not reflect a purposeful use of alliteration by the author. Bloor's narrator in the story, Paul, has a straightforward, factual style of expressing actions and feelings. That's why it's more likely that anything alliterative he says in his narration is just a coincidence rather than an attempt at being poetic. After all, there are only so many sounds in the English language, so it's natural for us to find repetitions of them within even short phrases and sentences.