Is there such as thing as a potted tall evergreen climber?

We've not long moved into our house, and the first thing I wanted to go was to plant something/fix trellis to the side of our front door as there's a lot of wall space,and it looks ugly and imbalanced and painted pebbledash. The problem is the concrete path is right up to the wall so no soil to plant in.
I like the idea of a climber instead of a wall planter as I'm not a fan of random structures, I prefer more natural looking coverage so I hoped to paint the trellis the same colour as the house as a disguise. Is there a plant that would do well in a long slim planter that would stay put and grow up the wall a fair way? It's a long shot, I know, but thank you for reading, and for any ideas you may have!
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Trachelospernum jasminoides might be OK in a pot. Has the benefit of a beautiful scent. You will need to be very diligent in watering for any climber
Oh my goodness, what a beautiful plant. It's eactly what I'm looking for. I googled it and saw pictures where it showed it going around a door. I wonder if I could plant it on one side of the door (the side with soil) and have it running around the door and down the other side, or is training this way impossible?
As you can see I know very little about gardening, I'm learning bits here and there.
Thank you for the suggestion.
It is not very hardy though is it? Where abouts do you live? Is it sheltered?
Hi Mck, have a look at this RHS site, it will explain everything, from planting to pruning and training Trachelospernum jasminoides.
https://www.rhs.org.uk/advice/profile?pid=302
The wall faces West and I would say it's not very sheltered. I'm in Northants.

Thanks Sue, I do use that site to check on how to care for the plants I have, it's great
I would go for one of the smaller growing evergreen clematis or honeysuckle which would be a lot hardier.