Generate random values from boxplot

I have searched everywhere but yet no answer.

I have, let's say, an existing BoxPlot: median: 5, q1: 2 q3: 6 5% percentile: 1 95% percentile: 2

I would like to generate 1,000,000 random values following this distribution. Is there a way to do that?

I can generate skewed normal distributions, so another way would be to convert the boxplot values into the one of a skewed distribution, but given that the density changes with a change of alfa, I have no idea how to embark in that.

Thank you