Yes because children always do what they are told.
No, children do not always do what they are told, but that is no excuse not to train your children properly. If you haven't taught them you can be sure they will do the wrong thing.
Neither one of them could chamber a round, if you promised them every toy in the toy store.
Also, be careful with trusting that your children are too young/weak/uniformed to operate your gun and therefore you are safe. I think you said your kids are 2 and 4, if so, then you are good for the time being but before you know it that will not be the case.
My oldest just turned 13. I have periodically tested his gun knowledge and ability over the years. I think he was first able to pull the stock trigger on a Glock when he was 6 or so. He owns a Ruger 10/22 that he got for his 12th birthday. That is the only gun he has shot. I have taught him gun safety from a young age and he had seen me shoot/handle other guns. Just out of curiosity I recently had him try to load and operate several guns that he was unfamiliar with. I cleared the weapons and loaded the magazines with snap caps and set them on the table. I asked him to load each of these guns: A Ruger 10/22 (modified, not the same as his but similar enough), an AR-15, a pump shotgun, and a 1911.
I thought he could figure out the 10/22 since it operates the same as his, just looks different, and he did. I thought the others would be too much for him. Imagine my surprise when he cycled the AR (I didn't think he could figure out where the charging handle was) and managed, with some difficulty, to also cycle the slide on the 1911 (he pulled the hammer back first). The only one that stumped him was the shotgun, he couldn't figure out how to unlock the pump.
Kids will surprise you, they pick up things quickly just by watching and listening to you and if you don't stay on top of teaching them it will come back to bite you.