It's possible.
Just spend literally billions on a quantum computer that can perform the most accurate algorithm, since they work instantly, i'm sure your results will be alot more relevant, thus giving you an edge.
But then you have to convince the 250 million people a day who use google that 1 or 2 different sites in the top 10 is useful to them.
oh, then you have the fact people will break your algorithm (i.e. cheat their way to the top - BH style) like g00gle when it used to count keywords. so putting "money" on your site 1,000,000 times would give you the top spot if your competitor had 999,999 etc.
However, a self adapting, growing, updating algorithm that itself could judge the most useful way to link websites ... that would beat google. Shame computers won't be able to do that commercially for 40 years!
start working boys

(and girls!)