Is it possible to make a wooden pickaxe break bedrock with commands?

So i'm trying to do different kinds of pickaxes and axes, and I don't now a way to change the blocks that a pickaxe can break. Like how do i to make a diamond pickaxe break bedrock. if possible teach how to do it on 1.16.1. I found that command...
/give @s minecraft:diamond_pickaxe 1 0 {"minecraft:can_destroy":{"blocks":["bedrock"]}} ...But it isn't for 1.16.1

First of all, the command you found is a Bedrock edition command.

You can use the CanPlaceOn and CanDestroy tags for MCJE.

/give @s minecraft:wooden_pickaxe{CanDestroy:["minecraft:bedrock"]}

but there's still a problem, because bedrock can't be broken, because that's the whole point, it's a barrier to stop you falling into the void! So even with a CanDestroy tag for bedrock, you can swing your pickaxe at it as much as you want, but that bedrock isn't going to break.

You could retexture a different block to look like bedrock, but that's an entirely different mechanic for an entirely different post.

It is not possible to do this. However, you can use NBT and passive bedrock-breaking commands in command blocks.

First, have a command block set to repeat, with command:

/execute @a nbt={SelectedItem:{id:"minecraft:wooden_pickaxe",tag:{display:{Name:"Bedrock Breaker"}}}}

This will check if a player is holding a wooden pickaxe with name "Bedrock Breaker". The name is there to make sure that players won't fall into the void on accident because they were holding a wooden pickaxe on bedrock.

Next, have a chain command block with command, set to Conditional:

/execute @a ~ ~ ~ detect ~ ~-1 ~ bedrock 0 tag @s add bedrock

This checks if the person with "Bedrock Breaker" is standing on bedrock.

Next, to break it, have another chain command block, set to Conditional:

/execute @a[tag=bedrock]@a ~ ~ ~ setblock ~ ~-1 ~ air

This destroys the bedrock block under a player holding the "Bedrock Breaker" pickaxe.

This is optional: This command gives the person(s) with "Bedrock Breaker" pickaxe a bedrock block as an item drop.

/execute @a[tag=bedrock] ~ ~ ~ give @s bedrock 1

This removes the tag bedrock so the player cannot switch to different items and still break bedrock.

/tag @a[tag=bedrock] remove bedrock

The conditionals are there to make sure that the player MUST be holding a Bedrock Breaker pickaxe. Otherwise, the player could run around, breaking all the bedrock that they are standing on, eventually falling into the void. I hope this helps.