Yes. Cuban GDP per capita was at $3,781 (2005 USD) in 1989. It fell to $2,394 by 1993. It did not pass it's peak until 2006. (Source)
The Cuban economy suffered because they lost Soviet subsidies & a collapse in sugar prices. While the Cuban economy can still be accurately described as centrally planned or Socialist, they have undergone some liberalization. They also have a doctors for cheap oil deal with Venezuela. According to Carmelo Mesa, the Venezuelan subsidy is higher than the Soviet one.
