Can we redirect long url to diff short url

You can do redirects through iRules or Local Traffic Policies.

You can check host name and uri and then redirect if it matches your condition... Something like

when HTTP_REQUEST {
    if {[string tolower [HTTP::host]] equals "abc.com" && [string tolower [HTTP::uri]] equals "/pkmslogin.html?xyz.com"} {
        HTTP::redirect "https://xyz.com" 
        return
         If you wanted to use the param after the "?", you could do this instead:
         HTTP::redirect "https://[HTTP::query]"
    }
}