Possible, yes, practical, no. In general, you want the least complexity as possible in the payload, since you can't fix it as easily as you can with ground bugs. Also, memory that's space-hardened is going to be significantly more expensive and failure-prone, so you need a lot of redundancy.

AFAIK Verizon is doing something similar with edge compute in their 5G towers/data centers. If Starlink gets big enough, I'd expect them to do the same. However, I think it's much more likely for Starlink to put the edge compute/cache at the Starlink ground stations, rather than in the satellites themselves. I think the tech/cost still isn't good enough to have significant compute on a satellite.

https://www.fiercewireless.com/5g/verizon-partners-aws-to-br...