65W-19.5v DC - 3.33A versus 135W-19.5v DC - 6.9A. Is this safe for a laptop charger?
Both chargers output 19.5V (which is good) and presumably have exactly the same DC plug that fits in the laptop. If so, I would be quite happy to try the 135W PSU. The laptop should only draw the current required to meet charging rate, as set by the laptop designer for the internal battery.
The charge rate for batteries is known as the C-rate:
https://batteryuniversity.com/article/bu-402-what-is-c-rate
If the laptop is designed to work from a nominal 3.33A charger, when you connect a charger capable of supplying 6.9A, I would not expect the current drawn to rise significantly above 3.33A. The laptop designer should have optimized the charge rate to work with the "standard" 3.33A charger and set the input current limit accordingly (somewhere below 3.33A).
There is a slight chance the laptop will draw a current somewhere between 3.33A and 6.9A when connected to the 135W charger, if HP offered a choice of several different PSUs for the same laptop, e.g. 65W, 100W and 135W. Some people prefer to carry a lightweight charger in their laptop bag, so HP may have offered a choice of PSUs with different capacities and weights.
If you want to check the actual charge rate of both chargers, download a copy of BatMon and install it on the laptop. The app starts with Windows and you can use it to measure the charge rate when the charger is connected, or the battery discharge rate when the charger is unplugged. If you notice a big difference in the charge rate between the two chargers, or the battery gets hot when charging, don't use the 135W charger. The "risk" is yours. If in doubt, contact the manufacturer.
https://www.passmark.com/products/batmon/
Battery charging at 33210mW (= 33.21W):-
Battery discharge at 18000mW (= 18.00W):-