Yes, but caveat: they each must accept your effort to enroll them into push messaging. That means that for each token in your database, each individual must consent to receiving future messages from you (via SMS and email, that is).
Each address (tel #, email) becomes an endpoint, and you can use SNS to create a topic, then subscribe each endpoint. After a confirmation email is sent to each endpoint (person on your list), they must confirm, in order to begin receiving your stream of messages via text or email.
Unfortunately, this confirmation/consent event is dicey, and must be handled correctly. Your ARN's title must be succinct (7 letter via SMS, no subject line allowed). Hence, you must contact them via SMS using a name they will recognize (the SMS message will arrive via short code, 304-something), and can be refused and/or blocked.
Not trivial! Best to investigate using push messages via mobile app. This will avoid the coveted SMS space, but you might consider putting out a blast to email and/or SMS, in order to get them using your mobile app. Apparently, given the immediacy of SMS, folks will be reading your first confirmation within 20 seconds. This could be a good thing, if they confirm, then accept your future messages.
Am doing this right now, and am preparing to be recognized by name using my initial blast -- apps that create anonymous SMS will be banned through iTunes!