Weird pressure feeling on left side of chest and i feel relieve when i put pressure on it...can this be a heart problem or anxiety!?

Needs evaluation: If you feel relief when applying pressure, it is less likely to be a cardiac problem. Nor does it sound like anxiety. Without further information I cannot say what it is but do feel you should get an exam from your primary care doctor.

Probably not heart: Your age and the fact that pressure externally relieves the chest pain make this highly unlikely to be heart. Probably this is some chest wall pain.