Not really.

Term "ace" is really only applied to pilots (or commanders) who destroy a quantifiable amount of enemy vehicles. Hence why there are "flying aces" and the spinoff terms "tank ace" or "submarine ace." For whatever reason it's easier to wrap our heads around X tanker killed 10 tanks or Z pilot shot down 7 planes - the work of an infantryman can't be measured with such neat metrics and it doesn't seem as glamorous, I guess.

When it comes to recognizing and quantifying the service of individual infantry men, the Germans come the closest in WWII.

Infantrymen who took part in three infantry attacks would be awarded the Infantry Assault Badge (Infanterie-Sturmabzeichen). Non-infantrymen like tankers or gunners could get the
General Assault Badge (Allgemeines Sturmabzeichen) for taking part in three three attacks on three different days.

Infantrymen or anti-tank gunners who killed enemy armor could earn the Tank Destruction Badge, which had the rather wordy German name of "Sonderabzeichen für das Niederkämpfen von Panzerkampfwagen durch Einzelkämpfer" (say that three times fast!).

Each tank kill earned the soldier a silver badge on their sleeve. Five tank kills earned them a gold badge.

The tank-hunting "ace of aces" scored 21 tank kills on the Eastern Front!

Franz Kurowski does use the term "Infantry Aces" in his book by the same title about outstanding German infantrymen - however, he confesses the phrase is his invention and that it was never used during WWII.