I think so, but only if you count total warming as overall warming + cooling effects.
The critical numbers, from pages 98 - 100 of the report (units = Watts per square metre of earth's surface):
- The accumulation of energy is driven by a positive total anthropogenic effective radiative forcing (ERF) relative to 1750. The best estimate ERF of 2.72 W m-2-2
- The ERF due to methane emissions is 1.21 [0.90 to 1.51] W m–2m-2
- Aerosols contributed an ERF of –1.3 [–2.0 to –0.6] W m–2m-2
Note aerosols have a cooling effect, so the sum of warming effects could be said to be 2.72 + 1.3 = 4.02. 1.21/4.02 = 0.3, which is close enough to the BBC figure to make sense.