Sure - why not. I've never grown blackberries or any of their relatives in a pot, but I have grown just about every thing else in a pot.

Based on how they grow and what I know of growing plants in pots (all my plants are in pots), you're going to want a large pot. There are two common ways of growing this sort of plant. One is in a big clump, and the other is along a row and trained onto wires or some sort of trellis - sort of like grape vines. I would try growing them as a clump as the trained method takes up a lot of space.

If you don't care what the pot looks like you can buy a 'utility bin' (looks kind of like a big pot with rope handles) or a 80 litre + rubbermaid storage bin at Canadian Tire for less than $10 (you'll need to drill or cut holes for drainage). Something nicer that is a sufficient size will cost you a minimum of $20 and may run to over $100 if you want a really nice pot.

Fill the pot with soil that is a mix of black earth, peat, and perlite. Or whatever you want - just don't use some sort of Miracle Grow pre-bagged and pre-fertilized soil. Blackberries aren't really fussy, but they don't like an overly rich soil. Don't put broken pottery or stones in the bottom to 'improve drainage' - they do no such thing and actually make it worse.

Pots dry out very fast. You'll have to water every day, and possibly twice a day if it's really hot. You'll also need to keep the pot itself out of the hot sun - it'll heat up too much and cook the roots. Shade it with some other plants or whatever you have handy.

You may also need to pollinate the flowers yourself. Sometimes in a city there just aren't enough bugs or bees around to do it or they're drawn to more attractive plants. So use a cheap artists brush and dust from one flower to another.

Overwintering them should not be a problem in your area. Normally plants in pots are not as tolerant of winter cold as plants in the ground are but you live in a warm enough area to make it a moot point.

BP

Thanks bonniepunch. Your suggestions have been very helpful.