My joints hurt and there is rough skin around my elbows. Could this be arthritis?

Possibly. If the skin condition involving the elbows is psoriasis then there is a possibility of psoriatic arthritis, which occurs in 20% of the patients with psoriasis. This would generally be manifested as painful and swollen joints classically involving 2 or 3 joints.
Could be. You should see your internist for a serologic examination to rule out auto-immune conditions at your age. A dermatologist may also be of assistance in looking at your rough ski to determine if this is possible eczema or psoriatic arthritis.

Related Questions

I am 25 and my joints hurt and there is rough skin around my elbows. Could this be signs of arthritis?

Possible not likely. But psoriatic arthritis is a rare possibility that should be evaluated by your physician. Far more likely causes are eczema and/or traumatic osteoarthritis. Read more...
Psoriatic arthritis. This could be psoriatic arthritis. You should consult with a rheumatologist for an accurate diagnosis and proper treatment regimen. Read more...

My joints are painful and there is rough skin around my elbows. Is it possible I have arthritis at 25?

Yes . If your joints hurt , if is more that six weeks and you have inflammation , redness , stiffnes or increase in size then you need to see a rheumatologist . The rough skin in your elbows can be dryness or any skin disease . It has to be evaluated . Read more...
Yes. Rough skin - sounds like psoriasis. See pits in any fingernails -- probably psoriasis. There is something called psoriatic arthritis --go see a specialist. Read more...