Yes and no, it comes down to how much the casino is manipulating the game.
A single-deck blackjack game has a +0.5% to +0.6% advantage over a multi-deck blackjack game with the same rules.  Most of this advantage is due to the removal of cards (removing one card in single deck has a significant effect, whereas removing a single card in a shoe game using 6, 8, or even 10 decks is basically negligible).  The other side of the coin though is that, while single-deck blackjack is hard to come by, it’s fairly easy to find good rules and conditions in multi-deck shoe games.
The bottom line is that while single-deck (and even double-deck) blackjack games are better than multi-deck shoe games, they’re also easier for the casino to manipulate.