Oh yikes, they look like the troglodytes from Bone Tomahawk.

Anyway, short answer: no. I haven't seen the movie so I can't comment on how they fought but from what I can see in the picture the weapons, clothes and hairstyles aren't at all accurate. It looks like sealskin (?) or something and their weapons are just bits of bone, that's downright comical. Pictish soldiers would've been equipped with a spear, a small square or H-shaped buckler, a knife, and maybe some darts or a small stabbing sword. Needless to say they would've been made out of metal. Axes were practically unknown in Celtic warfare and wouldn't be used in any great capacity until the Viking age. No armor at this point except maybe a helmet so I guess they got that right.

As for dress, at this stage the Irish would've been wearing a long, loose tunic called a léine which reached down to the knees and sometimes all the way down to the ankles. They were usually made out of linen but later on some fancier ones would be made out of silk. Sometimes the leine was worn with a short, long-sleeved jacket called an ionar which kind of looks like the thing the guy in the front has? But they would've been made out of colourful green or red materials. These guys are all wearing trousers, which was quite rare amongst the Irish and the Picts. When they were worn they were more like leggings than trousers, "so tight as to perfectly show the shape of the limbs", and were secured by a strap that went around the bottom of the foot. These guys also look like they're wearing shoes, which was rare as well. When shoes were worn it was usually indoors, and limited to the nobility and their servants. Notably missing are cloaks, which the Irish and Picts were very fond of. Their hair is also wrong, it should be long all around with a heavy fringe and maybe a shaved back. The Irish were also almost universally bearded.

Most of this applies to Ireland in the 4th-8th centuries but Celtic dress was quite conservative and slow to evolve so it might apply to the 2nd century Picts as well. Maybe someone better informed than me about British Celts rather than the Irish can expand on it.