Is there any way that I can track a villager trade and execute a command when an item is traded

If you're OK with using command blocks, a quick search online revealed this thread, citing this wiki page; apparently solving your very issue.

Emphasis added:

i want to detect when i do a trade with a villager. there is maybe a way to do it if i use data when i do a trade there is an nbt that change called uses but and i try to write the command it doesn't work any idea's?

Oh, yea, easy peasy… There's an advancement trigger that's made for just this!

{
  "criteria": {
    "requirement": {
      "trigger": "minecraft:villager_trade",
      "conditions": {
        "item": {
          "item": "minecraft:diamond"
        }
      }
    }
  }
}

…

If you're just looking to detect just one villager and run some commands as that villager, (for some custom map NPC or something) it would be very easy to just have:

data modify storage temp NPC_1.uses set value []
data modify storage temp NPC_1.uses append from entity <NPC #1> Offers.Recipes[0].uses
data modify storage temp NPC_1.uses append from entity <NPC #1> Offers.Recipes[1].uses
data modify storage temp NPC_1.uses append from entity <NPC #1> Offers.Recipes[2].uses

... and so on...

execute store success score .changed int run data modify storage map NPC_1.uses set from storage temp NPC_1.uses
execute if score .changed matches 1 run tellraw @a {"text":"NPC #1 was traded with."}
execute if score .changed matches 1 as <NPC #1> run say "It's true, a player traded with me."