Some giant portion of English vocabulary actually are compound words. English loves using compound words but only if the roots are sourced from Latin or Greek: words like electrocardiogram ("electronic heart picture", sourced from Greek), agriculture ("field nurturing", from Latin), and telecommunication ("far sharing", a hybrid of Latin and Greek roots). Probably the overwhelming majority of the words in an English dictionary will be compound words, and people regularly coin neologisms ("new words") using this formula.
An English speaker might be willing to accept componoma ("names placed together", Latin) or synthetonoma (also "names placed together", Greek) without breaking stride.