Add the sugar, honey and water to a medium saucepan set over medium-high and bring to a boil, stirring often.
Grind the almonds in a large food processor until coarsely chopped. Pour the boiling water over the almonds and continue blending until smooth up to 10 minutes, scraping down the sides of the bowl if needed. It will be hard to get the same consistency as store bought almond paste and that's ok.
If the mixture is so thick that the food processor is straining, you can add a little more hot water, kirsch or simple syrup.
Wrap the almond paste in plastic wrap and allow it to cool or store in refrigerator 2 - 3 weeks or freeze up to 3 months.