So, anecdotally, yes. There’s a question over evidence (i.e. I don’t have anything direct) but hey, when did that ever stop anyone on this forum 
Here’s my resting HR from 2016, as measured by 3 different Fitbit devices:
It’s been steady around 55bpm until last year with the odd peak (mainly multi-day cycling trips but I did have an unexplained elevated period at the end of 2018).
2022 then. I had Covid at the end of January and you can see my resting HR is already rising slightly at that point (although you could argue that 1bpm average is barely worth talking about). After this I must have been fully recovered as I was cycling as well as ever really - did an early season 98 mile/2200m sportif in Shropshire in exactly 7hrs, good for me. After that, however, things got quickly worse.
The first I was really aware was when I picked up a respiratory infection in early June. I was on a long weekend cycling in the north Pennines and bagged 5 of the Warren 100/200 climbs over two days so it wasn’t that bad, however I binned the third day.
You can see from the chart that June/July resting HR was over 60. I was wheezy all that time and my trip to the Alps in late July wasn’t a great success. At the time I put it all down to 40deg temperatures but I think this ‘illness’ must have contributed.
I didn’t cycle much for the remainder of the year, that will have contributed to the higher HR, you can see Feb 2023 has dropped back down as I started exercising more regularly.
It may be coincidence, I didn’t go back in to an office until September 2022 so it’s not that.
Long covid? The dates don’t match so again, unlikely.
I’ve been wheezy all winter. As an asthmatic, I guess that’s not overly unusual but I don’t keep a wheezyness chart so I can’t compare to previous years.
I did have a long but mild illness in Feb this year, a sore throat/tight chest for a few days but then coughing lasted for a month, about double the usual length. We don’t mix much as a family with others indoors, my cycling friends have all been going down with covid but I’ve only seen them outdoors so I doubt it was covid. I never took a test though.
Anyway, enough rambling, I need to go cycling 