Yes, but not as a simple native fit. Olympus OM lenses can be adapted to Pentax K in some cases, typically using a replacement mount or a custom adapter solution rather than a straightforward adapter ring.

From the community answers, there are a few approaches:

• a custom or replacement mount conversion for OM-to-Pentax K
• Leitax replacement mounts that screw onto the Olympus lens
• improvised/custom adapter solutions for limited uses

Important limitations apply:

• Infinity focus may not be possible with some adapter setups. One user reports success with an OM 50mm macro on a Pentax K-x, but only for macro because it would not focus to infinity.
• You will be using the lenses manually.
• Metering support is limited, so the Pentax body needs to be used in stop-down metering mode because OM lenses do not provide the Pentax aperture linkage.

So, yes: it is possible, but expect manual focus, stop-down metering, and possible loss of infinity focus unless you use a proper mount conversion.