You certainly can. They have a head start and at least two will reach the dropship before you gun them down. Two of them are caught offguard when you suddenly switch off your lightsaber and quick-draw your pistol, shooting them down as they try to retreat. The other two hop into the dropship as it starts to take off, with you still an action away...
As you ready to leap aboard, one of the Grotos suddenly swings the heavy side-mounted cannon into position and the other starts to shut the side hatch. Not getting inside without trouble, while the dropship starts to ascend.
You would have to get aboard to do anything, unless you intend on destroying this dropship the same way you destroyed the last one. Remember you need it in flying order.
A volley from the cannon comes your way, the blasts tearing up the scenery around you and obliterating thin trees... but you race beneath the dropship and around to the other side. It has gained height and soon may be out of reach if you do not jump now.
Abruptly bringing his dash to a halt, Con leaps up and rebounds off a tree... and grabs hold of the lower lip of the hatch as the dropship pulls out of the treeline.
The trooper that closed the door turns with his blaster and puts a shot past you, but you put a shot in his chest. The man on the cannon reaches for his own gun but you blast him down with multiple shots.