According to the results of crash testing conducted for all cars and vans, yes. EVs have to adhere to the same safety regulations as conventional vehicles – note however that quadricycles like the Renault Twizy are not covered by the same testing regimes. Many of the UK’s best-selling EVs have been awarded five stars by independent safety body EuroNCAP.
However, it should be said that there have been a small number of fires from lithium batteries, most notably involving the Tesla Model S in the United States. However, Tesla has published in-depth data to show that the incidences of fires is no greater than for conventional cars (which may be reported less frequently).