Yes its possible
But you need to take brokerage into account. Dividend payments. You have to buy the cheap and sell the expensive. You can't just buy the cheap, because the expensive share could come down and the cheap stay where its is.
In addition to buying the cheap share in one currency and selling the other in another currency, you need to do a spot currency trade in the opposite direction.
The best way to unwind is to instruct your broker to deliver the shares you are long to the exchange you are short, any currency movement is offset by your spot currency hedge.
If you unwind both legs you pay brokerage all over again.
By the way sitting on the bid/offer on one share and then trying to trade the other at the offer/bid is not arbitrage.
Normally these situations are watched by the big brokers and banks and are traded electronically. And then settled as I described above.
For this reason the spreads are small and you need massive positions to make a decent coin at the end of the day.
Also be careful of stocks listed on two exchanges in different time zones.