Does coarctation of the aorta have any influence on the lymph drainage in an infant?

Not usually: Simple coarctation shouldn't have any influence on lymph drainage at all. The systems are completely different. However there are a few syndromes that mess with things in the mediastinal area, the central cavity where the heart lays, that can affect both. However, they usually come with a host of other abnormalities.

No: No . It is a different system . But some syndromes may have coarctation and lymphedema like in turner syndrome.

Not Directly: Coarctation itself should not directly affect lymph drainage. The thoracic duct runs near the aorta, but is generally not affected by coarctation. After surgery though, for other reasons, there may be issues with lymph drainage.