Drop input voltage for a boost converter
No this will never work well.
A Solar Panel is an optical-powered current-source that starts at a high impedance with no power. It has an open-circuit voltage, Voc and a short circuit current, Isc. In order to capture maximum power, there is a law that states the source &amp; load impedances must be matched.  There are many algorithms to maximize this power transfer or MPPT, e.g. hunting, and setting the approximate voltage based on a solar input sensor etc.
At max. solar input the Vmax is ~ 82% for Pmax out. This also defines the MPPT impedance R = V/I characteristic of the active source to the load.
However, a mobile smart battery charger expects a constant voltage and draws current according to its State of Charge (SoC). e.g. 19.5V +/-10%. Usually starting at constant current, CC then CV then cutoff at 10 to 5% of CC.
So you need to regulate both the MPT impedance to get maximum power and supply a fixed voltage within a reasonable range of 19.5V. This DCDC smart charger will have its own battery charger and step down regulators for logic and analog voltages simultaneously so it does not have to be exact, yet to get max power from the panel, it does need to be more precise..
You can choose an MPPT dual regulator for your battery and Solar Panel chemistry or something that matches the V/I characteristic your Solar Panel and conditions and charger voltage range of say 10%.
The panel needs to have Voc=24V to make a simple efficient regulator and have enough power to start the mobile charger so it must be sized greater than your maximum charger power rating to get started.