Yes, you can start driving but need to highlight dont high rev. (control below 3k rpm) it as the cooling system and oil (both engine & transmission) not fully reach optimal working temperature. (oil need optimal temperature to work their best protection/performance)
If not fully reach and you keep up high rev. during cold start, your asking for high wear of your engine in short period.

Bro, every oil got operating temperature including transmission fluid. If too cold it will also thicken up, slowing the oil flow (just imagine honey in low temperature). Installing addtional/aftermarket atf/cvt cooler without much research/data just increase the wear rate if you always drive in cold weather without proper warm up.
Before installing any of it check what is your normal ATF temperature like during like traffic jam, going up hill or fetching heavy stuff or trailer. Once you got the temperature data, check your original ATF gearbox spec. what is the optimal temperature range. Dont simply follow some mechanic or member peer pressure that all oil cooler must be good, a lot of time is waste money and more things to worry if done wrong (more hose, area to leak ATF oil)

This post has been edited by littlefire: Dec 4 2023, 04:53 PM

Far more than that, nowadays more newer modern cars already got oil/water temp reader built-in, o2 or catalytic converter also got exhaust temperature sensor to read real time temperature data. To reduce emission and better engine protection, it is better to raise the engine temperature as fast as possible (in this case higher rpm) to meet the optimal operation.