I am trying to improve my internet performance and using Speedtest.net I can see that a particular server on the public web has much faster ping times and bandwidth than others. Can I use a static routing table in my router to fix a path to this particular server on the public web? And if I do so is it likely to improve my web performance?
The only thing you really control with the routing table is the next hop. To say it differently you control which system, on a network you are directly connected to, a packet will be forwarded to for a specific network or address. After the packet leaves your system it is completely up to the device that received your packet to decide what to do next.