Yes, rather than paying for a whole private chartered flight yourself - you can consider sharing the private jet with several other travellers. It’ll still cost several thousand dollars to transport yourself and your pet, but will be significantly less than paying for an entire private jet experience.  Unfortunately, many of these ‘shared’ options are not commercially available and will need to be coordinated via private community groups like Chartered Air Travel with Pets (UK only), US/UK Dog & Pet Repatriation Private Charter Jet Group. I have, however, seen private jet group-sharing services offered by Hong Kong-based companies like Top Stairs Air and L’Voyage - which are addressing a growing demand for people seeking shared private jets for relocation purposes. Given that many of their relocation options are based in the United States and Canada, you may be able to coordinate some cheaper private jet flights to specific destinations if it matches their major routes.