No you can't because you need direct flights on OneWorld airlines between the continents you choose, and not all continents are so linked.

From Europe/ME (as defined for the purposes of the ONE) you can get to Asia, Africa, North America, South America; you can also take a direct flight to South West Pacific but only if you ticket also includes Asia.

From North America you can fly to South America, SW Pacific, Europe and Asia, but not to Africa.

From South America you can fly to North America, Europe & SW Pacific, but not Africa or Asia.

From Asia you can fly to North America, Europe, Africa & SW Pacific, but not to S America.

From Africa you can fly to Asia, Europe or SW Pacific

From SW Pacific you can fly to Asia, S America, North America, Africa and Europe (if you ticket also includes Asia).

It doesn't seem to me that a xONEn ticket fits very well with what you want to do.