Will you be relocating or replacing the old stove and putting in a new metal chimney at that location or just replacing what we see here.
The old Earth Stove does not look like it has proper clearances.
If just replacing what is there, yes, there are kits that have most of the parts one needs. These are sold online and through the big box stores like Home Depot. Often they are with value line chimney. If you want a better grade it's best to buy the parts separately, but the kit will show you what is used for the job. The kits will not include the actual chimney pipe which will vary with the height of the installation.
For example, this is with DuraVent's DuraPlus value line of chimney. The better product is DuraTech.
Out Through-the-Wall Wood Stove Chimney Kit used for through-the-wall installations. Can be used for flat or vaulted ceiling installations. Requires 2 in. clearance to combustibles.
www.homedepot.com