You maybe able to travel between Lahore and Multan. Just keep your speed under 100 kph specially if you don't want to stop for charging. But for the safe side, better stop at Abdul Hakim for charging. The charger is outside of toll plaza. Here's the contact number of the person responsible there.
Kamran (Abdul Hakim EV Charger)
+92 300 6170021
Other than that, there are now 3 chargers available on the M2 (Lahore-Islamabad) motorway.
Behra, Pindi Bhatitian (outside toll), and one more which I am forgetting. That one is also outside toll.
Charging infrastructure will soon expand and after an year or two we will have enough chargers that we will be able to easily travel between cities InshAllah. I am hopeful because multiple companies have announced about their investment plans for the EV chargers.