Does the Samsung Galaxy A37 have eSIM? Yes

Yes, the Samsung Galaxy A37 supports eSIM, so it can take a travel eSIM as long as it is carrier unlocked.

Where are you taking your Samsung Galaxy A37?

It takes an eSIM, so you can buy a data plan now and install it before you fly. Pick your destination.

Two minutes on the phone itself settles it, whichever version you have.

Dial *#06#
Open the phone app and dial *#06#. If a number labelled EID appears, your phone supports eSIM.
On a Samsung Galaxy
Go to Settings, then Connections, then SIM manager. If you can add an eSIM, it supports eSIM.
Check it is unlocked
A phone bought from a carrier on contract may be locked to it. Ask your carrier, or look for a Carrier Lock line in your settings that says No SIM restrictions.

Set it up before you fly and keep your usual number for calls and texts.

The 30-second check for any phone: the EID, and whether it is unlocked.