In a two-player Texas Hold'Em poker hand with blinds, which player posts the small blind?
No. Under practically all rules, the dealer posts the small blind and is first to act preflop. After the flop, the other player acts first.

Other rules have occasionally been implemented -- I believe Party Poker used to have this backwards preflop -- but this is almost universal. It is generally thought to lead to a better game with more action, as the small blind has a higher incentive to complete or raise when he has the benefit of acting last postflop.