Could Omnitrope cause any heart problem in adults?

Hello, well yes, such as fast heartbeat which is a serious side effect.

Are you in any pain or tenderness in your upper stomach?
This also a serious side effect-.

If you are not feeling well or experiencing any of the side effects I have listed for you, CONTACT YOUR CARDIOLOGIST AT ONCE , DO NOT WAIT UNTIL NEXT WEEK... IT IS YOUR HEART WE ARE TALKING ABOUT... from a caring individual

Get emergency medical help if you have any of these signs of an allergic reaction: hives; difficulty breathing; swelling of your face, lips, tongue, or throat.

Call your doctor at once if you have any of these serious side effects:

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sudden and severe pain or tenderness in your upper stomach;
nausea, vomiting, sweating, fever, fast heartbeat, yellowing of the skin or eyes;
increased thirst and urination;
sudden and severe pain behind your eyes, vision changes;
swelling in your head, face, hands, or feet; or
numbness or tingling in your wrist, hand, or fingers.

Less serious side effects may include:

headache;
redness, soreness, swelling, skin rash, itching, pain, or bruising where the medicine was injected;
breast swelling;
joint pain, swelling, or stiffness; or
mild nausea, stomach pain, gas.

This is not a complete list of side effects and others may occur. Tell your doctor about any unusual or bothersome side effect. You may report side effects to FDA at 1-800-FDA-1088.

My very best wishes and I hope everything is fine with your condition.