I have one in Nürnberg, but this year the punica granatum frozed to the ground. Now the new shoot is 6cm... ;-) (Tmin -16,5°C without protection)

In Normal summer (1800 sun hours in Nürnbeg, the fruits will grow til august. Not many but sweet.... ;-)

Try it and protect the soil with mulch and give some leafes or brush wood over the plant. But if it will get fruits you need periods with 30°C and many sunhours...