Is it possible to give effects to falling blocks?

I want to build a "rocket" out of concrete powder. I have a command block that gives a levitation effect to entities within 5 blocks of the command block. This is how I have the rocket set up:

Top layer: 2x2 square of concrete powder.

Layer 0: 2x2 piston door that is sideways.

On the press of a button, the piston door opens, causing the concrete powder to become an entity and fall. The command block activates, giving all entities within 5 blocks of it Levitation 255 for 1 second. However, I only get levitated, and the blocks just fall and plop onto the ground. The concrete powder is in range of the command block, but it won't fly up into the air. Is it possible to add status effects to falling block entities (i.e. sand, gravel, concrete powder, and/or primed TNT)?

Solution 1:

I tested this by placing a command block with the /effect command with a pressure plate on top. I would look up, place a sand block next to a fixed block, and exit fly mode so that I would land on the pressure plate while it is falling.

Result in Bedrock Edition:

Falling Block cannot have effects
Block of TNT cannot have effects

Result in Java Edition

Unable to apply this effect (target is either immune to effects, or has something stronger)

Therefore, falling blocks and blocks of TNT cannot have effects.

I would also like to take this opportunity to remind you that if you want to give a target an effect they already have but at a weaker level, you will need to remove the effect first in Java Edition. You don't need to in Bedrock Edition.