Is it possible to create LVM partitions for both SSD and SATA hard disks? I mean if there isn't any conflicts.
I don't see any points on doing so, you want a Volume Group that contains both SATA and SSD, that's possible.
Just create multiple PVs, with
And create a volume group that use those PVs, with
And do the partition of that VG.
LVM doesn't care what the underlying block devices are so you can mix any physical devices, or even software raid devices and it just works.