Since false Christs and false prophets will perform great signs and wonders - why would we think Satan couldn't?
"For there shall arise false Christs, and false prophets, and shall shew great signs and wonders; insomuch that, if [it were] possible, they shall deceive the very elect." - Matt 24:24
In this verse the words "signs" is translated "miracles" more often than "signs". Even the word "wonders" is sometimes translated as "miracles".
Now, if the ones mention in that verse are not as powerful as Satan, then Satan can work "miracles" as well, if not better! After all, Satan is the great "deceiver"!!!