Yes, you can.
Adalysis, by default, analyzes only active campaigns, adgroups or ads.
If you'd like to override this, you can do so by doing the following:
1) Create a new label called AdalysisKeepEnabled (case sensitive)
2) Enable the campaign (or adgroup or ad) from within Adalysis and assign the above label to it.
3) Pause the campaign immediately afterward from within Google Ads (not Adalysis).
When Adalysis sees that label, it will keep the entity enabled within Adalysis only. The status in Google Ads will remain paused.