In terms of stats, no, a giant spider has the base intelligence of 2 and a minus 4 to all intelligence checks. On their own they are completely focused on hunting and eating their prey. However, some wizards and necromancers have been known to control giant spiders to act as guards and deterrents so petty adventurers don't get too far into their lands. Still, you can always homebrew a giant spider to be more intelligent than its regular brethren. But without that it is just a large beast that is subject to the rules that other large beasts are.