Yes and no. They would have been built different, but not from wood. Don't have to go far for examples either: here's a house that was built to last in Stalin period. ComradeSalad does raise valid points regarding temperature jumps and the need for upkeep - but the latter is an issue with the economic mode, not the materials.

Besides, it's the XXI century. Surely we can build things with materials a tiny bit more advanced than basic concrete