LVM: one volume group that has HD and SSD disks - can I access SSD based logical volume when HD dies?

Let's assume I have two physical disks:

/dev/sda1 - hard disk

/dev/sdb1 - SSD disk

I create volume group:

sudo vgcreate hd_and_sd_vg /dev/sda1 /dev/sdb1

Now I create logical volumes:

lvcreate -L 10G -n my_test_volume_on_hd VolumeGroupName /dev/sda1
lvcreate -L 10G -n my_test_volume_on_sd VolumeGroupName /dev/sdb1

I can use command such as pvdisplay -m to confirm that extents are distributed correctly. my_test_volume_on_hd LV sits on hard disk, my_test_volume_on_sd LV sits on SD.

Now /dev/sda hard disk dies.

Can I still access the data on my_test_volume_on_sd?

Thanks