No; it's an easy quest to complete, as long as you have the supplies. You should look up a guide on related link.
The quest is Wolf Whistle and you can buy a dog at the store in Taverly after the quest.
Look up a guide
Here, I have posted you a quest guide link below.
Click the link below for a guide.
You must complete the quest 'Wolf Whistle' which has no level or quest requirement, for help with this quest I advide you search 'Runescape wolf whistle quest quide' on Google and follow the steps given in the guide. After you have completed the quest you can make pouchs with the ingredents: a charm, a pouch, a secondry ingredent and a numebr of spirit shards. Alteranatively youc an buy one from the grand exchange in varrock. For a pet you can buy one from the pet store in Taverly where you start the wolf whistle quest.
Get a new one, either from Grand Exchange or from quest start.
you can start this quest by speaking to Pikkupstix, located southwest of the eastern Taverley gate.
Some giant chicken of some sort, if you are doing the wolf's whistle quest you will soon see.
The logical answer would be to pick it up again, and use it to finish the quest. ------------ In the case that it's lost from dropping, You would have to make a new one using Wolf bones + 7 Shards.
You can be any level, but you need to be a member, and have completed the "Wolf Whistle" quest, that teaches you how to summon, no combat involved.
wolf whistle
To get a pet dog on Runescape you will need to complete the "Wolf Whistle" Quest which in turn, unlocks "Summoning" skill, then head on to Yanillle ( you can get there almost quickly by watchtower teleport of ring of dueling to "Castle Wars", then go to pet shop there to buy a dog, bring around 5000gp, shouldn't be that much, but just in case.P.S The "Wolf Whistle" quest is fairly easy.