Yes, it is possible to win consistently with basic strategy in blackjack. Basic strategy is designed to minimize the house edge and maximize your chances of winning over the long run. While individual sessions may involve losses due to the inherent variance in the game, following basic strategy correctly provides a statistical advantage.
Consistency and discipline are key. Stick to basic strategy, manage your bankroll effectively, and understand that blackjack is a game that requires patience and a long-term approach. Over time, by making the right decisions consistently, you can expect to come out ahead more often than not.