Not necessarily. Historically (though I couldn't find recent hard data in 60 seconds of searching the nets) cars have been safer [1][2], and in particular, less likely to roll over in an accident. Furthermore, when a SUV or truck collides with a car, it's more dangerous for the occupants of the car than in a car-to-car collision [3].
[1] https://www.trucks.com/2017/03/15/pickup-trucks-struggle-saf...
[2] https://www.quora.com/Statistically-are-you-safer-in-a-lifte...
[3] https://www.consumerreports.org/cro/news/2013/05/suvs-are-sa...
Full disclosure: the last transport I owned was a 2001 Toyota Tacoma pickup. My current transport is the London Underground.