Yes they will but just like people they can also still get sun burned/scorched and wind burn. Even on very cloudy days much more UV penetrates than they are used to so they need to be sheltered and closely monitored.

Dave

Thanks!

If I had my choice I always move plants out on cloudy or rainy days. The transition is much easier to handle; no need for shade cloth or constant monitoring of plant condition.

Granted that those days are involved in the hardening-off process but the less abrupt of a change you can make for this process the better your plants will respond.