Is Late October Too Late to Plant Climbing Plants?

I recently lost a lovely laurel that separated my garden from my neighbor's, and I'm eager to replace the greenery and privacy it provided. I'm in the process of building a large planter and installing a trellis with the intention of planting some hardy climbing plants. I've heard that clematis montana is a fast grower, but everything I've read suggests it's best planted in early to mid-autumn. I'm wondering if it's still okay to plant it in late October? If clematis montana isn't a good option, can anyone recommend another climbing plant that would thrive if planted at this time? My garden is sunny and south-facing, located in the West Country. Thanks in advance!