Can you still drive up to the lake although it’s closed?

Road to Summit Lake and Mt Evans summit is closed for the season, closes end of November Early October depending on weather. The road to Echo Lake stays open most of the year due to residents on the mountain.

The road to the lake stays open but there may be ice. The road up my Evans closes in early October.

Yes

The route via idaho springs exit 240 is open. But route via evergreen ( Exit 252) would be closed.

When I visited in October it was open.

I think you are talking about Summit Lake? Last I heard the road was still open to there.