Very likely yes!
For starters, I would use the kill switch to kill the cellular modem, leave it off for 20 seconds or so, then switch it back on. Then give it enough time to acquire the tower.
In Settings / Mobile, you would probably want to check Network Mode (I have “2G, 3G, 4G (Preferred)”.) and underneath that check that Network shows something (I have my carrier’s name.)
Within Modem Details, I see Carrier (same again), Network Type (“lte”), Signal Strength (“73%”) and Network Status (“Registered”).
An obvious question would be: has it ever worked? i.e. was working before but not now? - or never worked? If it has never worked, I would check the positioning of the SIM in the tray and/or fault isolate the SIM in another phone (if that is an option for you).
It’s hard to say whether 60% is enough because for a start I don’t know how it is converting the real value into a percentage. The real value (RSSI in dBm) can be obtained with an AT command but let’s see whether we can avoid going there.