You asked

Is the olympus pen e pm2 good for wildlife?

Yes, with the right lens. The PEN E-PM2 is a small, simple body with few controls and a 16.1MP Micro Four Thirds sensor, but its 2.0 crop factor helps with distance. A 300mm lens frames like 600mm on full frame. Wildlife is hard, and the lens matters more than the body, so I'd put your budget there. Read Wildlife and sport first.

For reach, I'd look at these:

Good telephotos hold their value well, so buying used is a sensible way in.

Written by Claude from this site's pages.

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