The way how LVM allocates space is controlled by allocation policy within the volume group. Under the right conditions it would be theoretically possible that all your data would physically be stored only on one disk.
Practically this does not work. LVM will refuse to activate any volume group for which physical volumes are not "sufficiently available". This means, for example, that you could start a volume group with only one out of two mirrors, n-1 out of n RAID-5 elements, etc., but in your case (linear/striped) volume you don't have any redundancy, so you would not be able to activate it.
Another problem is the filesystem. Filesystems do typically not allocate space from the beginning. After a period of allocation/deallocation, the allocated space gets fragmented and scattered all around, so it is extremely unlikely that all your data would end up on one disk.
And even if, against all odds, your data actually was on one disk, the filesystem would still be cut off, missing internal structures and therefore corrupted/inconsistent.