This is one comparison where the answer is genuinely one-sided for espresso specifically, even though blade grinders are perfectly fine for some other brew methods.
Blade grinders chop beans with a spinning propeller-style blade, producing wildly inconsistent particle sizes. Burr grinders crush beans between two abrasive surfaces set to a precise, adjustable gap, producing far more uniform particles.
Espresso's short brew time and high pressure make it extremely sensitive to particle size variation. Drip coffee's longer brew time is more forgiving of the inconsistency a blade grinder produces.
You'll get a mix of coarse chunks (under-extracted, sour) and fine dust (over-extracted, bitter) in the same shot, muddying the flavor no matter how well you otherwise dial in your machine.
Technically yes, but the inconsistent particle size will make it very difficult to get a balanced shot.
Yes — even an entry-level burr grinder produces far more consistent particles than any blade grinder.
Related reading: The Ultimate Guide to Espresso Grinders