No. The Xbox 360 Edition of Minecraft (the legacy "Console Edition" by 4J Studios) does not support user-created mods or modded survival in the way the Java Edition on PC does.
Recommendation: For true modded survival, play Minecraft: Java Edition on PC (Windows/Mac/Linux) with Forge, Fabric, or Neoforge, or use Bedrock Edition's official Add-Ons system on modern consoles.