It is highly unlikely, a respected colleague. Good-neighborly relations with Germany, Russia at that time could not be. The only option - the total elimination of confrontation in Europe. It is extremely difficult.I am looking for PODs that could make your assumptions work.
Lets assume that in 1908 Franz Josef DOES NOT annex Bosnia.
Some bad blood between Austria, Germany and Russia/UK would not happen (actually it would also have been better for Austria both economically and diplomatically not to annex, but thats hindsight).
Lets assume that Russia wants access to to straits and tries to get it on the diplomatic table, but UK interferes (keeping the status quo) - So instead the Austrians (and Germans) being the ones acting against Russias interest, it would be UK. Lets further assume that Russia and A-H and Germany slowly defuse the tensions between the nations.
Russia then might grow cofident enough to assume that any action in the East would NOT provoke German/Austrian action against Russia (It did not in 1905). Austria could easily have issues with italy - so fighting in the east against russia would seen as unwuise in Vienna. Germany still would be facing France. UK is content that no nation in Europe is powerful enough that it can dominate all others...
You don't need to have Germany allied with Russia - Just make them "good neighbours".
Russia can still be allied with France and France still allied with UK, but relations between Russia and UK are not really good. Thus Germany would not feel that "encircled" as OTL.
Italy likely is wanting both Austrian AND French territory, so it might look to a "friend". In this constellation (and because of economic ties) the friend sought is likely UK. Accidentally this even might butterfly the Ottoman-Turkish war as UK might pressure Italy NOT to harm the OE. Ans this in return might also butterfly away the Balkan wars...
Generally speaking Europe is not as bipolar as OTL, so war is less likely.
Russia has the potential to become i(more) industrialized and can afford to build then intended military assets to attack Japan in 1919 (no fear of invoking the Anglo Japanese traety as this kicks in only if one side is facing MORE than one enemy).
In fact in the decade 1909-1919 UK might increasingly become wary of Russia becuse of Russias growing military (and economic) power - so Germany might seen as lesser threat over the time.
Assume that Germany suffered some catastrophe