anecdotally: not at all
speaking from intuition rather than any kind of medical background:
looking at some of these diagrams of the layers of the penis and the vasculature I guess i could /hypothetically/ see a sort of compression against the vasculature especially while things are swollen, and before the skin stretches. But nobody here has reported anything along those lines that I've read (others have been here far longer).
Maybe if you had a severe
Venous Leak? Dunno, proper
Urologist question. I would imagine as far as the corpus cavernosum goes the mechanisms that cause blood infil and stop blood exfil are way stronger than slight inward pressure could produce. Likewise e.g. the dorsal vein, the arteries, you'd have to do something pretty obscene to affect those, and i suspect you'd hit other issues long before they were affected.
And of course the tissue that's created around the filler itself vascularizes - i just can't see as a layman any real-world commonplace things someone would do with filler that would restrict blood flow.