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You haven't said what release of Lubuntu. Other linux distros are off-topic here (askubuntu.com/help/on-topic) unless Ubuntu and official flavors of Ubuntu, and the age of your touchscreen chipset & age of kernel & software stack play a huge part in support.
ubuntu-touch
is a phone OS. Ubuntu-touch (now supported by UBports) is a different OS to Lubuntu. en.wikipedia.org/wiki/Ubuntu_Touch