I have a trellis against a south facing wall on my patio. I would love to grow a Jasmine up it but don't know if they can grow in a pot.
Anything can grow in a pot, provided the pot is large enough and you are prepared to give it all the care and attention it cannot give for itself in the open ground. Which kind of jasmine did you have in mind? There is no reason why not, but you will need to treat it with care and attention all year round - we grow much of our garden in pots, somewhere between 400 - 450, and so I know they can be time consuming - but great fun as you can grow all sorts of unlikely things apparently together, and move them around as they get past their best or come into full glory.