No...
Please take it in stride when I explain that not every tank can have EVERY fish or coral. Each system is thought out for the long term care of these fish, invert, coral, or anything else you are adding.
Just plopping in fish or corals that are desired colors is very irresponsible. This hobby is painfully demanding for patience and has a mean experience curve at times. Local stores will just sell you pretty colored items and swear everything is perfect.
You may have a beast of a clown, or poor rockwork for two different territorial species in the same tank. All sorts of small issues could be present that have nothing to do with the simple answer of "Yep, should be fine" from the local pet shop when they bag up your new fish. (Because Clowns and Hawks ARE compatible if you ask someone) see what I mean...
Do not get discouraged or frustrated. But remember to slow down and really research what you are trying to do. You have a small tank and it sounds like it already has other issues. Water quality, lay out, lighting, and other issues you are working on.
trying to introduce these two fish together and getting them to be tolerent together can take some thought. What have you tried so far for your particular set up?
Bad news is not the end of the world, but trying to just ignore or steamroll somthing because of convenience doesnt work for long in this hobby. It will get figured out, but stop, look, and think before making such changes. Chasing and moving fish sounds simple for now, but break the habit... As when you move into larger or more particular fish combinatins or system configurations it can do a lot of harm to play bull in a china shop with your mini ocean you are growing..