Can a white burgundy puligny -montrachet from1977 still be ok to drink?

The answer is: no

A white Burgundy Puligny-Montrachet from 1977 is unlikely to be still good to drink. White Burgundies are typically made from Chardonnay grapes and are known for their freshness and acidity. Over time, these wines tend to lose their fruitiness and develop oxidized aromas. While some white Burgundies can age well for 10-15 years, it is unlikely that a wine from 1977 would still be in good condition. Additionally, the cork may have deteriorated over time, allowing oxygen to enter the bottle and further degrade the wine.