We looked at that,  
Due to the bandwidth requirements, it was impractical at the present time.

What is Practical is to
1.  Remote into a PC or VPS running a ZEIT Wallet from an android or ipad
or
2.  Just login to a Exchange and use it to send and receive coins from the Android or IPad's exchange account
(This has the advantages of not requiring the user to keep a blockchain synced.)
(It also gives the user the ability to make Offchain Transactions which are instant ,
if they use an exchange that supports offchain such as Cryptopia by sending to the exchange's user name instead of the ZEIT address.)