Can this run fallout new vegas?

In general, before considering details, all A series AMD underperforms compared with expectations.
Also, don't expect much at £380.
1920 x 1080 is a larger load than 1366x768 in gaming.
cpu A9-9410

speed score only 2575.
i3-7100U @ 2.40GHz 3779
i3-6006U @ 2.00GHz 3160
i3-5010U @ 2.10GHz 3064
i3-4000M @ 2.40GHz 3236
i3-4010U @ 1.70GHz 2442
Pentium N4200 @ 1.10GHz 2020
So, cpu performance in in-line with 4th gen i3 reduced voltage and a little better than low budget Pentium N4200 laptops.

Graphics processing is more important in gaming, and it has R5 Stoney Ridge.

Ranked at #392, it is between Intel Integrated HD Graphics 6000 and HD Graphics 520
The i3-6006U has HD 520, so is a little better in both Graphics and CPU. Consider A9-9410 as inferior to i3-6006U.
Year 2010 release Fallout New Vegas has low requirements

It meets recommended requirements so should be playable at high settings at 30fps.
It is low for ram at 4gb

At the same price, a standard Lenovo V110
https://www.saveonlaptops.co.uk/80TH0013UK-Lenovo-V110_2177744.html
i5-7200U with hd 620. 4gb, 128gb ssd is much faster CPU, a bit better graphics, and a small peppy SSD.

Starting price of a gaming laptop is 100 pounds more.
https://www.saveonlaptops.co.uk/K550IU-GO075T-Ex-Display---ASUS-K550IU-GO075T_2274886.html
ex-display ASUS K550IU-GO075T
FX-9830P score 4791
AMD Radeon RX460 4GB Graphics rank 104
8gb ram. 128g ssd and 1tb hdd
has a low performace display at 1366x768 and 2.45 Kg in weight
The Yoga is 1.75kg.