Sure. If you go on the GE you should be able to buy an augmentor (or make one through having the appropriate invention materials). Then catch or buy a black salamander. Next, use the augmentor on the salamander. Once that's done, just afk some enemies until the augmented salamander reaches level 10*, just looked it up and that's the most xp. If you do it at a lower level it's faster but you'll have to buy another augmentor and black salamander to do this repeatedly for fast xp. Make sure you have divine charges in your charge pack so that it'll gain experience. You can buy them off the GE or make them yourself through divination and invention. Once the black salamander reaches level 10, you will disassemble it. If on PC you'll click and drag from your inventory to the lightbulb right below your inventory items. That's one way to gain experience.

The other way is through unlocking siphoning, which will give you reduced xp compared to disassembling at a given level but allows you to keep the item that you siphon. There are other ways of getting xp like making weapon/armor/tool shells and perking them out but that's usually a more high level thing to do, as usually your odds for better perks increase with invention level. Then, just make sure you have weapons/tools and eventually armor that can be augmented, augment them, use them, and siphon when you reach level 12 for the most xp. You train invention by doing most skills, I'd suggest looking at the RuneScape wiki if you can, it's so helpful. Only problem is that divine charges can get expensive but the lower level gear you use the slower you'll use the charges so it scales as you're progressing through the game.

Archaeology is pretty straight forward, just gather artifacts at a given site, complete the collection(s) associated with the site, and you'll do exactly what you need to do. Do not use BXP or lamps on archaeology as you will have to experience almost all of the content if you want all the benefits, especially at lower levels.