Yes you can edit the Spider's summon time and everything else:
\Public\Main\Stats\Generated\Data\SkillData.txt
new entry "Summon_Spider"
type "SkillData"
data "SkillType" "Summon"
data "Ability" "Summon"
data "Element" "Earth"
data "ActionPoints" "6"
data "Cooldown" "6"
data "ChargeDuration" "0"
data "Lifetime" "5"
data "SummonLevel" "-1"
data "Magic Cost" "1"
data "Template" "6d16a931-5609-4555-9eea-b936ca16c563"
data "TargetRadius" "10"
data "Icon" "Skill_Earth_SummonSpider"
data "DisplayName" "Summon_Spider_DisplayName"
data "DisplayNameRef" "Summon Spider"
data "Description" "Summon_Spider_Description"
data "DescriptionRef" "A big spider joins you in battle."
data "StatsDescription" "Summon_Spider_StatsDescription"
data "StatsDescriptionRef" "Summon a level [1] spider in a [2] radius for [3]<br><br> The spider's fangs have a 10% chance to Poison its target and is very resistant to poison attacks itself. It is immune to Blinding attacks. You can only have one summon at a time."
data "StatsDescriptionParams" "SummonLevel;TargetRadius;Lifetime"
data "FXScale" "100"
data "PrepareAnimationInit" "skill_summon_air_start"
data "PrepareAnimationLoop" "skill_summon_air_loop"
data "PrepareEffect" "FX_Skills_Earth_Summon_Prepare_A"
data "CastAnimation" "skill_summon_air_cast"
data "CastTextEvent" "cast"
data "CastEffect" "FX_Skills_Earth_Summon_Cast_A"
data "CastEffectTextEvent" "cast"
data "TargetCastEffect" "FX_Skills_Ranger_SummonSpider_Summon_A"
data "TargetEffect" "FX_GP_Target_Earth_A"
data "Skillbook" "SKILLBOOK_SummonSpider"
new entry "Summon_Spider_2"
type "SkillData"
using "Summon_Spider"
data "Level" "2"
You would change 5 to -1 in "data "Lifetime" "5".
Just check out that tutorial. It explains how to make changes to these files. Pretty easy once it "clicks" and you realize how it works.