Does a 1993 Chevy pickup need catalytic converter?

Yes, a 1993 Chevy pickup almost certainly had a catalytic converter. Federal emissions regulations mandated catalytic converters on most vehicles sold in the US starting in the early 1970s, and by 1993, it was standard across the board for light-duty trucks like a Chevy pickup. There might be extremely rare exceptions (like some heavily modified vehicles or those intended for specific, non-road use), but generally speaking, you should assume a 1993 Chevy pickup had one.