The real answer is there is no way to tell.
SMS messages are not guaranteed to be delivered even if you are on the home network and you phone is turned on. They are designed to use "spare bandwidth" to deliver them, so they may get delayed if they pass through an "over utilized" segment of the network.
Most likely, they will queue up and all be delivered to you when you get home, but there are some chances that they may just vanish into the net work never to be seen again. Now, if you have an Apple device and are using iMessage, they are more likely to be queued and delivered later.
SMS messages are not guaranteed to be delivered even if you are on the home network and you phone is turned on. They are designed to use "spare bandwidth" to deliver them, so they may get delayed if they pass through an "over utilized" segment of the network.
Most likely, they will queue up and all be delivered to you when you get home, but there are some chances that they may just vanish into the net work never to be seen again. Now, if you have an Apple device and are using iMessage, they are more likely to be queued and delivered later.