I only know the casinos in Atlantic City, the state of New Jersey, USA. They allow one player to play multiple hands. But there is one unwritten request. The player must be consistent with playing all his hands. Otherwise, the casino dealer or, worse, the pitboss, will point to people around the table who would like to take seats at the table and play.
On the other hand, I strongly believe that playing multiple hands is a BAD, BAD strategy. For one, you piecemeal your bankroll. Secondly, you cannot keep accurate records if applying a mathematical strategy. Learning the blackjack basic strategy is a must. No one should play blackjack without good knowledge of basic strategy. The best way to learn basic strategy is, by far, via color-coded charts or tables. There are some free here (you need a color printer to print the images):
Blackjack basic strategy color charts: Split pairs, double down, hit, stand.
Ion Saliu,
Single-Handedly At-Large