upgrade computer mac
Can a 10.13 High Sierre computer get an upgrade>
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We cannot answer effectively without knowing your iMac's SUB-MODEL. iMacs date to 1998 in five broad families and, even within one family, the sub-model can limit your system software options.
Please do "About this Mac..." from you Apple menu and tell us what that show from your sub-model:
For security reasons please DO NOT post a serial number.
Your iMac must be 2012 or newer to to run a higher OS than High Sierra. How much higher is 100% dependent on the sub-model and, at this point, only you know that.