No it is not.
The easiest and fastest mount you can get (if you are lucky) is the water Buffalo in venore.
To tame it you need a Leech , which you can try to get by 'digging swamp' with a shovel, in here for example:
*Note that you can loot the leech, a small diamond or a dead snake. If you dig a dead snake you will have to wait a week for a new try, so it could be smart to do a try in several characters.
Other option is to rent a horse in thais while you make to tame a mount, and if there is wild horses to tame one of them with sugar oat