Yes. I cannot think of any scenario where it wouldn’t be the case and just to confirm, we’re talking of portable hard drives (the ones that can be carried around, smaller cousins of desktop or external hard drives). Hard drives are slower because they are mechanical; the data is stored on physical platters and accessed via a head located on an arm; similar to a turntable reading vinyls.
Your average external HDD such as the Seagate Backup Plus has a throughput of 140MBps, that is, it can transfer data up to that speed. The slowest external SSDs we’ve tested would hit about 450MBps (and that’s the SL200), which is about 3X the speed.
So a folder that take about three minutes to be transferred on a portable hard drive will take less than one minute on all but the slowest portable SSD.