Yes they can - just move
.
I'd have to say either the RX-79NT-1 Gundam G-4 "Alex" if I had the reflexes, dexterity and reaction speed to operate it, or a YFX-200 CGUE DEEP Arms or an AMF-103A DINN RAVEN, and also a MS-14Jg Gelgoog Jäger.
And, of course, my second favorite next to Alex - the MSZ-006 Zeta Gundam.