When Vietnam began integrating into the international economy a few decades ago, production in craft villages developed strongly. A few decades ago, when production in craft villages developed strongly, Vietnam began integrating into the international economy. It changes the order of what happened first, or caused the second.

Yes, it will change the meaning. 'When' indicates causation, if it's changed to: 'Vietnam integrated into the international economy a few decades ago when production in craft villages developed strongly.' This modification implies that Vietnam integrated into international economy as a result of production in villages increasing. I would doubt this is true; instead the government policies and participation in/access to international markets is what caused the changes in the villages. The way the sentence originally is written, Vietnam's integration into the global market is the causative agent that changed the productive output of the villages, rather than vice versa.

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Không, nó không làm thay đổi nghĩa của câu No it does not change the meaning of the sentence

Hi! No, it doesn't 'really' change the meaning of the sentence