Absolutely. Your wallet lives on the blockchain, and Slush allows you to access it from as many devices as you need.
If you use Social Login, simply sign in with the same Google or Apple account on any new device to sync your wallet. If you use a Passphrase account, you can import your wallet by entering your private key or 12-word recovery phrase on any new device to regain full access to your funds.
Sign in on your new device to see your assets and history instantly.