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Fit pie shell dough into 9 inch tart pan with a removable bottom.Preheat oven and bake tart shell according to package directions. Let cool completely.
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Combine sugar, water and corn syrup in a small, heavy saucepan. Bring to a boil over medium heat without stirring. Continue cooking without disturbing until mixture turns golden, reduce heat to low, carefully drizzle in 3/4 cup cream and then stir until smooth.
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Stir in pecans and vanilla extract into caramel mixture and then scrape into prepared tart shell. Chill for at least 30 minutes (or up to 2 days if you want to).
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Place chocolate, remaining 1 tbsp cream and vegetable oil in a small microwavable bowl; cook mixture for 2 minutes at medium power.
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Stir until smooth (if it doesn't melt after 2 minutes microwave and additional 30 second intervals until smooth).
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Place chilled tart to a serving platter. Scrape melted chocolate into a corner of a small, sturdy plastic bag.
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Cut off tip and drizzle chocolate on top of tart. Chill again until ready to serve.