My personal take (and l emphasise personal), is that it's not too late if you move quickly. Normally you would move it while the rose is dormant, but if you're willing to take the risk then yes. You can take cuttings from shrub roses as insurance. There are several rose experts on here who can advise, @Marlorena for one
Not an expert, but I have moved a shrub rose after growth had started, mine was three years old. I think you will be ok too. Water it well the day before and prepare your new planting hole in advance, enriching with some garden compost and/or well rotted manure if you have it. Carefully dig around and under the rose it to retain as large a root ball as possible, settle it into the new hole, backfilling with the soil you dug out and then treading lightly down around it to settle it in. Water it in deeply.
Mountainous Northern Catalunya, Spain. Hot summers, cold winters.
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Normally you would move it while the rose is dormant, but if you're willing to take the risk then yes.
You can take cuttings from shrub roses as insurance.
There are several rose experts on here who can advise, @Marlorena for one