No.
A US Quarter is 0.955" in diameter and 1.75 mm thick.
Arcade tokens can range in a lot of different diameters and thicknesses... Here's a simple example:
Coin mechs are all designed to usually take specific sizes to prevent people from just jamming any coin in there to count as a credit. A coin mech can determine the diameter and thickness of a coin and also detect anything metal like a metal washer in place of a token or quarter. It does this with a series of channels that funnel coins based on their size and thickness. A magnet prevents any metal from dropping through the mech to count as a credit.
The two most common sizes are 0.9" and 0.984" for most arcade tokens.
There are mechs that exist in which you can basically drop anything in them and they will count it as a credit. Essentially they just have no checks built in to funnel faulty coins.
One such mech is a 3d printed one sold by arcade restoration workshop:
http://www.arcaderestoration.com/products/1/ACV2/Any+Coin+TM+V2.aspx