There is an integration listed in the HubSpot app marketplace, but I’m not sure how good it is. It’s worth trying, though, to see if it helps you with your needs.
I’ve also checked their API to see if, with a third-party integration tool like n8n, this would be possible, but they only offer it for contact and company search and enrichment, not for their campaign data.
There are a few 6sense-related topics in the community, maybe it helps to explore those as well. Let us know if you managed to solve this.