I interpreted this two ways. It seems like the OP is talking about creating a remote control tickling tool, as opposed to a 'tickle robot'. I'm not super technical -- I'm sort of a pc technician, sort of, and I know a little bit of programming but not enough to tackle this -- but I'll give an answer a shot.
Tickle tool bot: This is possible and probably not that difficult to make. Honestly, I could probably sit around for a week, study some things and learn how to make something like this. I think most people could. Like I said, it would be rudimentary though. Very basic. What I'm imagining right now would be something wired to a device akin to a video game controller: up down left right, and then start/select to speed up/slow down, with a/b/x/y to maybe switch between 'techniques' or 'tools', like swapping to a different tickle-head. In this scenario I'm thinking of something like an electric toothbrush with variable speeds, where you can move the head up and down and maybe hit a button to spin to a different sized head.
I would say this would be a 'fair' on difficulty terms.
The issue I would have is that it's a tool, and you were talking about it being remote controlled. It would become increasingly difficult to properly tickle with this device as a large amount of 'tickling' comes by responding, that is, changes in what you're doing and how you're doing it which a tool of this caliber will not be able to easily do. It would be more of a sustained type of tickling over a small area, which I've seen discussed elsewhere is not an effective way to tickle.
You have inspired me and should I get the chance in the not so distant (as in, not near but not far) future I might try to spin something together. Like I said, I don't think it'll be much more than an electric toothbrush that I can move remotely, with varying speeds.
As for an actual tickle robot:
I don't know how you would create such a thing right now. Tickling between two people is about interaction, responding to stimuli (hearing harder laughter or catching someone 'lose their shit' when you hit a spot in a specific way'). Just creating a robot that could move in a variety of ways and 'attack' an individual even close to the complexity that a human would tickle another human would be incredibly difficult by itself, but harder still would be properly programming the bot to interpret the stimuli. You can't really go by noise levels because that's not necessarily indicative of anything, though that might be the best way. I don't have a strong grasp of the biology behind tickling, but I imagine heart rate/bloop pressure increases during a session so maybe you could track it that way, but that also seems unreliable.
I'm not saying it's impossible to do create such a robot, but I don't know how you would program it to gauge responses on it's own.
I'm hoping to hear some feedback on my (overly verbose) response so I can break these mental barriers and maybe think of a way to actually do it haha. Not that I will, I just want to know if it's possible.
**Edit**
I used the word programming a few times in regards to the tickle tool-bot. I don't think you would actually have to program anything. This device would almost certainly be mechanical.
**Edit 2**
Thought a bit more about it. I think rather than something like an electric toothbrush that moves around/in/out something more like a 'tickle sock' might work better, with several vibrating sensors and an on/off switch with speed controls for each one might work better. That would also be a lot easier to make. Maybe. I don't know.
So there's the tickle shoes fantasy right there lol. That's definitely doable.