I mean... You could try... But why would you want to?
Reasons why kidnapping and ransoming Santa would be a bad idea
1. He lives in the North Pole, just in case you didn't know, that's in the Artic and would be very hard to get to, let alone find him. It's very cold.
2. He has a sled and magic reindeer, which can fly. So he could easily escape and evade capture
3. Santa is very corpulent and heavy, thus we need a big bag, and many men to haul him away, also consider this with the first two points, and understand that this would be a very difficult task, requiring perfect planning and advanced logistics, something that we probably do not possess given the current IQ of the average Farmer.
4. He keeps a list, he checks it twice: Capturing santa is in fact naughty, not nice.
5. I don't think the Elves can be trusted, while we could attempt capture through a more diplomatic, political route, I refer to bribing the Elves to betray Santa to us... But I have a feeling that they are as fickle as the wind and would just as likely doublecross us and try and capture US for ransom!
6. Who the fuck are we ransoming to? The Elves? They don't give a shit, Rudolph and his reindeer hoes are all broke ass niggas and Mrs. Claus is out of the picture. Santa has no known relatives or friends, his colleagues are all useless and hold nothing but contempt for that oversized bearded pleb. Who do we ransom him off to? The US. Government maybe? What's the end goal here?