I want to hang my hammock in my room, and the only option I have is an eye-screw (not bolt) into a 2x4 in the wall behind the drywall. Would anyone trust just a 3ish" eye-screw in a 2x4 to hold them up?

I've done some pretty extensive research on the forum about other options, but it looks like due to the size and layout of my room, this is my only option.