Praise be to Allah.
We do not know of anything in Islamic teaching which would indicate that it is not allowed to take a bath after eating or before doing so, whether in Ramadan or at other times. This is one of the matters that have to do with customs, and the basic principle is that it is permissible.
For more details, please see the following answers:
Is Washing the Mouth After Eating Required Before Praying?
Can You Eat Before Ghusl After Intercourse?
Can You Shower/Bathe while Fasting?
Is It Prohibited to Eat in the Bathroom?
And Allah knows best.
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