This is kind of you’re own opinions and perspective the project ur working on
The Great Chain of Being refers to hierarchy in a system,which definitely exists in Dante's Inferno. You can see as the protagonist goes through Hell that first he goes into Limbo, where the least serious criminals and people who haven't been Christened are located. As he goes through nine circles of Hell, he comes across more serious offenders and demons who guard them, until he comes into the very core of Inferno where Satan is keeping 3 people prisoners: Judas, Brutus, and Cassius.
Hope this helps! :)
My interpretation of this is that the author was hoping for something futile - they 'grew a flower' (put effort or hopes toward) that can't be bloomed (is pointless or futile, will not produce anything) that can't come true (their effort/hope is just a hopeful dream). Basically, the author hoped for something that was not possible.