Yes, our VPS's support both Fuse and Docker.
Bear in mind though, that while Docker is fully supported, some Fuse solutions have been recently deprecated - notably the NTFS-3G solutions to access NTFS filesystems. If you're trying to reinstall any similar solution on a 5.x kernel or older, consider upgrading to the 6.x kernel, that has a non-emulated, real solution.
Also, consider that Fuse packages are external to the kernel, they merely establish a bridge with the Linux Kernel - and that might render your system potentially less stable comparing to a kernel-integrated solution. Some of them are also older, so may not be compatible with your current kernel version or your Linux distribution. As always, do your research.