Yes, very easily, American households alone plop a few hundred billion to over a trillion dollars into the stock market every quarter. Whether investors want to is another question. (The answer, at least to the tune of $75bn for SpaceX, seems to be yes.)
Just like creditors demand higher rates on investment grade bonds, investors are demanding a higher risk premium if they're going to be expected to keep piling in cash to this particular sector that's diluting and raising.
I don't think anyone can say this until the IPO goes out. Right now, all we're seeing is discount rates being adjusted market wide in anticipation of a rate hike.