I mean, technically you can do this in English as well. English is a Germanic language and compound words are fully legitimate in the language. The following don't exist in the colloquialisms or formal records of the language, but are grammatically correct:

  Wehmot -> sorecourage
  Einsam -> onepeace
  Stimmung -> innervoice
  Lebensmut -> lifegrit
  Liebenswürdig -> loveworthy

And, despite the author's claims, many do have direct equivalent words in English:

  Ursprung -> outspring
  Aufrichtigkeit -> uprightness
  Entwicklung -> unwrapping
  Entschuldigen -> unguilt

All of which could be used in the manner described in the article. As well as having accurate one-word synonyms:

  outspring: origin / original
  uprightness: compunction
  unwrapping: developing, delving, growth
  unguilt: unburden

The main difference in the languages is that modern English (especially 20th century on) has relied more on loanwords (another compound word) and hyphenations to augment. Love-worthy, for instance:

https://www.wordnik.com/words/love-worthy

It's hard to count compound words as "words that don't exist in other languages", honestly. Meanwhile, there are perfectly acceptable (compound or not) words that actually give voice to something hard to describe in other languages. Which is a far more interesting (IMHO) concept; such as "schadenfreude" or, going the other way for many languages, "irony".