Is there exist postive integer  $a,b,c,x,y,p,q$,such $(a,b,c),(x,y,a),(p,q,b)$ are  a Pythagorean triple?

I.e
$$\begin{cases}
a^2+b^2=c^2\\
x^2+y^2=a^2\\
p^2+q^2=b^2
\end{cases}$$
have postive integers solution?