What voltage class?
Window-type or wound primary?
If medium voltage wound type, this answer is most probably no. Normal thermal rating is 100 x Inom, which would be 15 kA.
I assume most of the above comments are assuming a window-type CT or bushing CT. Remember even those have limits on how much current the secondary windings can take without damage...even if a short-time current. Considering your case above, for a 25 kA primary current, the secondary peak current could reach 833A (25 kA / 150/5). While the core would saturate well below that level more than likely, the saturation point is a function of the connected burden. If the burden was electronic and the leads relatively short, then the secondary current could get pretty high and could indeed cause damage.