Yes it can, from the Main Menu scroll down to Program Menu, then Global settings and scroll down and you will see 2 options for Enable Record and Search Record. That will work for all the search modes like Spectrum Sweeper and Service Search modes.
Also to get into tune mode quickly just hit the Fn key then the 0 (zero) key.
Here's a post with all the shortcuts, useful for quickly going direct to desired operation modes TRX-1 Fn Function key Shortcuts