Hello,
Is there in routeros the possibility to log the users activity (logging users visited sites) and save the logs into the usb pendrive connected to routerboard?
No. Not with Mikrotik. Not in any realistic way anyway.
You may use Web Proxy as a transparent proxy to force everyone to go through the proxy and get the URLs visited from there, but that works only for HTTP requests.
HTTPS requests - which tend to be popular in this day and age of mass spying - won’t get logged since the whole point of encryption is security.
Most big websites use HTTPS and with the advent of Let’s Encrypt many many smaller sites started to use encryption as well.
Is the squid able to log the HTTPs requests.
Just a word of warning.
If you just want to see what your family is doing on the internet then it is fine.
But if you are checking out your Internet customers site history then you are most probably breaking a privacy law in you country.