Can I move apps to home NAS and run its from NAS in my MBP 2017?
Yes and no.

Can you technically do it?  Yes, you can.  You can mount a volume on a NAS device in the same way you would an external storage device and offload your data and applications there.  They would even run from that volume.

Would you want to? No.

First, just comparing USB 3 with Ethernet, you're opting for a connection that's 1/5 that of USB 3 (Ethernet = 1Gbp/s; USB3 = 5Gbp/s).  Then, if you're intending to run this over 4G LTE, you'd be going from 5Gbp/s to 50Mbps - 1/10th the speed.  This is not practical in any sense.

Get a high quality external USB drive for supplemental storage and keep it with you; it's cheaper and more practical.